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	7280a	Isogeny class
Conductor	7280	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	159810560 = 210 · 5 · 74 · 13	Discriminant
Eigenvalues	2+  0 5+ 7+  0 13+  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1403,20218]	[a1,a2,a3,a4,a6]
Generators	[-27:196:1]	Generators of the group modulo torsion
j	298261205316/156065	j-invariant
L	3.5270763286639	L(r)(E,1)/r!
Ω	1.7956505961586	Real period
R	0.98211654767614	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	3640c3 29120ce4 65520bc4 36400l4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7280a4

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

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Quadratic twists for elliptic curve 7280a4

-4	8	-3	5	-7	13
3640c3	29120ce4	65520bc4	36400l4	50960i4	94640bf4

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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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