Cremona's table of elliptic curves

5920 = 2⁵ · 5 · 37

Field	Data	Notes
Atkin-Lehner	2+ 5+ 37+	Signs for the Atkin-Lehner involutions
Class	5920d	Isogeny class
Conductor	5920	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	23520	Modular degree for the optimal curve
Δ	-2773758280000000 = -1 · 29 · 57 · 375	Discriminant
Eigenvalues	2+ -2 5+  3  1  4 -3 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,30904,1441480]	[a1,a2,a3,a4,a6]
Generators	[130:2770:1]	Generators of the group modulo torsion
j	6375052761771448/5417496640625	j-invariant
L	2.9010449492226	L(r)(E,1)/r!
Ω	0.29418439556474	Real period
R	4.9306574260229	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5920j1 11840t1 53280bw1 29600z1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5920d1

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	+	3	1	4	-3	-2	-6	3	-1	+	-5	3	-12	-3	0	7	4	-2	0	-8	0	14	15

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Quadratic twists for elliptic curve 5920d1

-4	8	-3	5
5920j1	11840t1	53280bw1	29600z1

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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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