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	7280g	Isogeny class
Conductor	7280	Conductor
∏ cp	80	Product of Tamagawa factors cp
Δ	-4057690000000000 = -1 · 210 · 510 · 74 · 132	Discriminant
Eigenvalues	2+  2 5- 7+  2 13- -6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,37680,1198832]	[a1,a2,a3,a4,a6]
Generators	[1094:36750:1]	Generators of the group modulo torsion
j	5777565954713276/3962587890625	j-invariant
L	5.9273270989847	L(r)(E,1)/r!
Ω	0.27722787596379	Real period
R	1.0690351896212	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	3640j2 29120bl2 65520q2 36400k2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7280g2

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	-	+	2	-	-6	-6	-6	-6	10	-6	10	-2	0	-10	14	2	-16	-6	-2	-4	-4	2	-14

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Quadratic twists for elliptic curve 7280g2

-4	8	-3	5	-7	13
3640j2	29120bl2	65520q2	36400k2	50960b2	94640m2

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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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