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	48	Product of Tamagawa factors cp
deg	8064	Modular degree for the optimal curve
Δ	18832398664625 = 53 · 74 · 137	Discriminant
Eigenvalues	-1  0 5- 7-  0 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-8482,218456]	[a1,a2,a3,a4,a6]
Generators	[-94:469:1]	Generators of the group modulo torsion
j	13980103929/3901625	j-invariant
L	2.6155201644281	L(r)(E,1)/r!
Ω	0.64069944588437	Real period
R	1.3607629293419	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	94640ch1 53235r1 29575a1 41405g1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5915k1

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 5915k1

-4	-3	5	-7	13
94640ch1	53235r1	29575a1	41405g1	455a1

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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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