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	7280j	Isogeny class
Conductor	7280	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	3072	Modular degree for the optimal curve
Δ	81536000 = 210 · 53 · 72 · 13	Discriminant
Eigenvalues	2+ -2 5- 7-  4 13+  4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-560,4900]	[a1,a2,a3,a4,a6]
Generators	[0:70:1]	Generators of the group modulo torsion
j	19000416964/79625	j-invariant
L	3.318439238123	L(r)(E,1)/r!
Ω	1.9338432445036	Real period
R	0.28599691724021	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	3640f1 29120bx1 65520y1 36400i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7280j1

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

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Quadratic twists for elliptic curve 7280j1

-4	8	-3	5	-7	13
3640f1	29120bx1	65520y1	36400i1	50960g1	94640e1

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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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