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	7280m	Isogeny class
Conductor	7280	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-2283008000000 = -1 · 215 · 56 · 73 · 13	Discriminant
Eigenvalues	2- -1 5+ 7+  3 13- -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-936,73840]	[a1,a2,a3,a4,a6]
Generators	[18:250:1]	Generators of the group modulo torsion
j	-22164361129/557375000	j-invariant
L	2.9680581907668	L(r)(E,1)/r!
Ω	0.68675618685559	Real period
R	1.0804628511453	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	910b2 29120ca2 65520dx2 36400br2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7280m2

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
-	-1	+	+	3	-	-6	-2	3	-6	7	5	9	-2	9	0	0	-13	13	-12	-13	-5	-6	18	5

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Quadratic twists for elliptic curve 7280m2

-4	8	-3	5	-7	13
910b2	29120ca2	65520dx2	36400br2	50960bo2	94640cy2

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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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