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	7280k	Isogeny class
Conductor	7280	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-2697600718618624000 = -1 · 217 · 53 · 78 · 134	Discriminant
Eigenvalues	2-  0 5+ 7+ -4 13+  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,206077,70341378]	[a1,a2,a3,a4,a6]
j	236293804275620391/658593925444000	j-invariant
L	0.71821065261102	L(r)(E,1)/r!
Ω	0.17955266315275	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	910a4 29120cf3 65520dl3 36400cd3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7280k4

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

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Quadratic twists for elliptic curve 7280k4

-4	8	-3	5	-7	13
910a4	29120cf3	65520dl3	36400cd3	50960bz3	94640cr3

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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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