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	7280k	Isogeny class
Conductor	7280	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	23040	Modular degree for the optimal curve
Δ	341986770944000 = 232 · 53 · 72 · 13	Discriminant
Eigenvalues	2-  0 5+ 7+ -4 13+  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-32003,-2015998]	[a1,a2,a3,a4,a6]
j	884984855328729/83492864000	j-invariant
L	0.71821065261102	L(r)(E,1)/r!
Ω	0.35910532630551	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	910a1 29120cf1 65520dl1 36400cd1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7280k1

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
-	0	+	+	-4	+	2	4	-8	-2	-4	10	-6	0	-8	2	-12	-2	4	-12	-2	8	-4	2	14

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Quadratic twists for elliptic curve 7280k1

-4	8	-3	5	-7	13
910a1	29120cf1	65520dl1	36400cd1	50960bz1	94640cr1

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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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