Cremona's table of elliptic curves

7280 = 2⁴ · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 13-	Signs for the Atkin-Lehner involutions
Class	7280n	Isogeny class
Conductor	7280	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	6912	Modular degree for the optimal curve
Δ	8818933760 = 214 · 5 · 72 · 133	Discriminant
Eigenvalues	2-  2 5+ 7+  0 13-  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3736,-86544]	[a1,a2,a3,a4,a6]
Generators	[90:546:1]	Generators of the group modulo torsion
j	1408317602329/2153060	j-invariant
L	5.319780495363	L(r)(E,1)/r!
Ω	0.61070015058706	Real period
R	1.4518255508996	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	910c1 29120cc1 65520dr1 36400by1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7280n1

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	+	+	0	-	0	-2	6	6	-8	-10	-12	4	0	-12	-6	2	4	6	-10	16	0	-12	2

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Quadratic twists for elliptic curve 7280n1

-4	8	-3	5	-7	13
910c1	29120cc1	65520dr1	36400by1	50960bt1	94640dc1

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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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