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	7280v	Isogeny class
Conductor	7280	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	6056960000000000 = 219 · 510 · 7 · 132	Discriminant
Eigenvalues	2-  2 5- 7-  4 13+  0  6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-90000,9724352]	[a1,a2,a3,a4,a6]
j	19683218700810001/1478750000000	j-invariant
L	4.1598320912038	L(r)(E,1)/r!
Ω	0.41598320912038	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	910k2 29120by2 65520da2 36400bn2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7280v2

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	+	0	6	2	6	8	-6	-8	-4	8	0	10	-14	4	-6	10	-16	0	-16	14

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Quadratic twists for elliptic curve 7280v2

-4	8	-3	5	-7	13
910k2	29120by2	65520da2	36400bn2	50960be2	94640bv2

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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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