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	7280o	Isogeny class
Conductor	7280	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	847664889344000000 = 215 · 56 · 73 · 136	Discriminant
Eigenvalues	2-  2 5+ 7+  0 13-  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-325696,-56071680]	[a1,a2,a3,a4,a6]
Generators	[14178:1686750:1]	Generators of the group modulo torsion
j	932829715460155969/206949435875000	j-invariant
L	5.282481161704	L(r)(E,1)/r!
Ω	0.20301128760406	Real period
R	4.3367713063707	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	910j4 29120cd4 65520dq4 36400bx4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7280o4

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

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Quadratic twists for elliptic curve 7280o4

-4	8	-3	5	-7	13
910j4	29120cd4	65520dq4	36400bx4	50960bu4	94640dd4

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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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