Cremona's table of elliptic curves

10318 = 2 · 7 · 11 · 67

Field	Data	Notes
Atkin-Lehner	2+ 7+ 11- 67-	Signs for the Atkin-Lehner involutions
Class	10318d	Isogeny class
Conductor	10318	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	1.1537997387033E+21	Discriminant
Eigenvalues	2+  2  2 7+ 11-  2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-562274279,-5132042502475]	[a1,a2,a3,a4,a6]
Generators	[-17908699189085838684508883278368022093536:8866504683154526518331251682203956899893:1308327606631292640564873620906606592]	Generators of the group modulo torsion
j	19659314274150439420410285566713/1153799738703254631296	j-invariant
L	5.2043850466266	L(r)(E,1)/r!
Ω	0.031003626889645	Real period
R	55.954583046592	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	82544bb2 92862bm2 72226g2 113498x2	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 10318d2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	2	2	+	-	2	0	-2	-8	-4	-4	6	6	-4	-8	-8	4	-2	-	8	4	-8	-14	-14	-12

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Quadratic twists for elliptic curve 10318d2

-4	-3	-7	-11
82544bb2	92862bm2	72226g2	113498x2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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