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	7280a	Isogeny class
Conductor	7280	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	1023626240 = 210 · 5 · 7 · 134	Discriminant
Eigenvalues	2+  0 5+ 7+  0 13+  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-803,-8622]	[a1,a2,a3,a4,a6]
Generators	[-126:87:8]	Generators of the group modulo torsion
j	55920415716/999635	j-invariant
L	3.5270763286639	L(r)(E,1)/r!
Ω	0.89782529807932	Real period
R	3.9284661907046	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	3640c4 29120ce3 65520bc3 36400l3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7280a3

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

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Quadratic twists for elliptic curve 7280a3

-4	8	-3	5	-7	13
3640c4	29120ce3	65520bc3	36400l3	50960i3	94640bf3

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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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