Cremona's table of elliptic curves

7210 = 2 · 5 · 7 · 103

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7+ 103+	Signs for the Atkin-Lehner involutions
Class	7210a	Isogeny class
Conductor	7210	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	365760	Modular degree for the optimal curve
Δ	-8132149462958080000 = -1 · 230 · 54 · 76 · 103	Discriminant
Eigenvalues	2+ -2 5+ 7+  4 -6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-3745134,2792705696]	[a1,a2,a3,a4,a6]
Generators	[-1892:56683:1]	Generators of the group modulo torsion
j	-5809324407022015989155929/8132149462958080000	j-invariant
L	1.6361566088625	L(r)(E,1)/r!
Ω	0.23281579071831	Real period
R	3.5138437212837	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	57680o1 64890cd1 36050u1 50470f1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7210a1

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	-6	-6	4	-4	2	4	4	-10	8	0	-4	4	6	4	14	-16	-12	16	-4	-6

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Quadratic twists for elliptic curve 7210a1

-4	-3	5	-7
57680o1	64890cd1	36050u1	50470f1

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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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