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	7280p	Isogeny class
Conductor	7280	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	242278400 = 213 · 52 · 7 · 132	Discriminant
Eigenvalues	2- -2 5+ 7+ -4 13-  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1216,-16716]	[a1,a2,a3,a4,a6]
Generators	[-20:2:1]	Generators of the group modulo torsion
j	48587168449/59150	j-invariant
L	2.2407312855172	L(r)(E,1)/r!
Ω	0.80847789396851	Real period
R	1.3857715233983	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	910i2 29120cb2 65520dy2 36400bw2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7280p2

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	2	-2	-2	0	2	0	4	0	4	6	6	-4	6	-14	8	12	0	-18

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Quadratic twists for elliptic curve 7280p2

-4	8	-3	5	-7	13
910i2	29120cb2	65520dy2	36400bw2	50960br2	94640de2

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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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