Cremona's table of elliptic curves

7360 = 2⁶ · 5 · 23

Field	Data	Notes
Atkin-Lehner	2- 5+ 23-	Signs for the Atkin-Lehner involutions
Class	7360r	Isogeny class
Conductor	7360	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1024	Modular degree for the optimal curve
Δ	-14720000 = -1 · 210 · 54 · 23	Discriminant
Eigenvalues	2- -1 5+  0  2  5 -4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1,185]	[a1,a2,a3,a4,a6]
Generators	[8:25:1]	Generators of the group modulo torsion
j	-256/14375	j-invariant
L	3.2078223292332	L(r)(E,1)/r!
Ω	1.7703153019062	Real period
R	0.90600310740666	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	7360a1 1840d1 66240fk1 36800ca1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7360r1

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	2	5	-4	-2	-	3	-7	2	-9	-4	9	6	0	-2	-2	1	1	14	0	16	-4

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Quadratic twists for elliptic curve 7360r1

-4	8	-3	5
7360a1	1840d1	66240fk1	36800ca1

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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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