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	5915j	Isogeny class
Conductor	5915	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	30888	Modular degree for the optimal curve
Δ	-236427313521035 = -1 · 5 · 73 · 1310	Discriminant
Eigenvalues	-2  1 5- 7+ -5 13+  2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-9520,818484]	[a1,a2,a3,a4,a6]
j	-692224/1715	j-invariant
L	0.49263516035443	L(r)(E,1)/r!
Ω	0.49263516035443	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	94640db1 53235l1 29575m1 41405k1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5915j1

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	1	-	+	-5	+	2	-6	-6	2	-8	-10	0	10	8	2	6	2	-2	-15	9	-3	1	-2	-13

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Quadratic twists for elliptic curve 5915j1

-4	-3	5	-7	13
94640db1	53235l1	29575m1	41405k1	5915d1

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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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