Cremona's table of elliptic curves

1302 = 2 · 3 · 7 · 31

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 31-	Signs for the Atkin-Lehner involutions
Class	1302h	Isogeny class
Conductor	1302	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	7687507968 = 212 · 32 · 7 · 313	Discriminant
Eigenvalues	2+ 3-  0 7-  6  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-4281,-108068]	[a1,a2,a3,a4,a6]
j	8673882953919625/7687507968	j-invariant
L	1.7708010182517	L(r)(E,1)/r!
Ω	0.5902670060839	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	10416p3 41664z3 3906u3 32550bu3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1302h3

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
+	-	0	-	6	2	6	-4	-6	0	-	2	0	-4	6	12	6	-10	-4	12	2	8	0	-18	-10

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Quadratic twists for elliptic curve 1302h3

-4	8	-3	5	-7	-31
10416p3	41664z3	3906u3	32550bu3	9114a3	40362d3

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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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