Cremona's table of elliptic curves

7120 = 2⁴ · 5 · 89

Field	Data	Notes
Atkin-Lehner	2+ 5+ 89+	Signs for the Atkin-Lehner involutions
Class	7120a	Isogeny class
Conductor	7120	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-40555520 = -1 · 210 · 5 · 892	Discriminant
Eigenvalues	2+  0 5+ -4  0  0  2  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,77,162]	[a1,a2,a3,a4,a6]
Generators	[2:18:1]	Generators of the group modulo torsion
j	49305564/39605	j-invariant
L	3.1430035964659	L(r)(E,1)/r!
Ω	1.3146716260358	Real period
R	2.3907137982001	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	3560a2 28480bk2 64080n2 35600a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7120a2

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

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Quadratic twists for elliptic curve 7120a2

-4	8	-3	5
3560a2	28480bk2	64080n2	35600a2

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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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