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	7280w	Isogeny class
Conductor	7280	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	41550745600 = 212 · 52 · 74 · 132	Discriminant
Eigenvalues	2-  0 5- 7-  0 13- -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1147,-11286]	[a1,a2,a3,a4,a6]
Generators	[-25:42:1]	Generators of the group modulo torsion
j	40743095121/10144225	j-invariant
L	4.3597551048842	L(r)(E,1)/r!
Ω	0.83533558072925	Real period
R	1.3047915129744	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	455b2 29120bq2 65520dc2 36400bc2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7280w2

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

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Quadratic twists for elliptic curve 7280w2

-4	8	-3	5	-7	13
455b2	29120bq2	65520dc2	36400bc2	50960t2	94640bm2

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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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