Cremona's table of elliptic curves

11830 = 2 · 5 · 7 · 13²

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7- 13+	Signs for the Atkin-Lehner involutions
Class	11830d	Isogeny class
Conductor	11830	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	7137643808750000000 = 27 · 510 · 7 · 138	Discriminant
Eigenvalues	2+ -2 5+ 7-  4 13+  0  6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-950629,-332868144]	[a1,a2,a3,a4,a6]
j	19683218700810001/1478750000000	j-invariant
L	1.2289801064491	L(r)(E,1)/r!
Ω	0.15362251330614	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	94640bv2 106470ga2 59150bk2 82810bk2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11830d2

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	+	-	4	+	0	6	-2	6	8	6	8	4	8	0	10	-14	4	-6	-10	16	0	16	-14

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Quadratic twists for elliptic curve 11830d2

-4	-3	5	-7	13
94640bv2	106470ga2	59150bk2	82810bk2	910k2

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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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