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	7280i	Isogeny class
Conductor	7280	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1280	Modular degree for the optimal curve
Δ	3261440 = 210 · 5 · 72 · 13	Discriminant
Eigenvalues	2+ -2 5- 7-  0 13+ -8  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-40,-60]	[a1,a2,a3,a4,a6]
Generators	[-2:4:1]	Generators of the group modulo torsion
j	7086244/3185	j-invariant
L	3.0797396258803	L(r)(E,1)/r!
Ω	1.9758317696398	Real period
R	0.77935269419259	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	3640i1 29120bw1 65520v1 36400f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7280i1

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	+	-8	2	6	-2	4	2	-8	-8	8	0	14	2	-12	-2	2	-8	-16	0	-2

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Quadratic twists for elliptic curve 7280i1

-4	8	-3	5	-7	13
3640i1	29120bw1	65520v1	36400f1	50960f1	94640d1

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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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