Cremona's table of elliptic curves

5915 = 5 · 7 · 13²

Field	Data	Notes
Atkin-Lehner	5- 7- 13+	Signs for the Atkin-Lehner involutions
Class	5915k	Isogeny class
Conductor	5915	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	120626180367875 = 53 · 7 · 1310	Discriminant
Eigenvalues	-1  0 5- 7-  0 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-789262,-269687726]	[a1,a2,a3,a4,a6]
Generators	[-32812:17829:64]	Generators of the group modulo torsion
j	11264882429818809/24990875	j-invariant
L	2.6155201644281	L(r)(E,1)/r!
Ω	0.16017486147109	Real period
R	5.4430517173678	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	94640ch4 53235r4 29575a4 41405g4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5915k3

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
-1	0	-	-	0	+	-2	4	0	-2	0	-2	-6	-4	8	6	4	-10	-12	-4	10	0	-12	18	2

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Quadratic twists for elliptic curve 5915k3

-4	-3	5	-7	13
94640ch4	53235r4	29575a4	41405g4	455a3

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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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