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	7210j	Isogeny class
Conductor	7210	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	4096	Modular degree for the optimal curve
Δ	-1653800960 = -1 · 216 · 5 · 72 · 103	Discriminant
Eigenvalues	2-  1 5- 7- -2 -4 -8  7	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,295,185]	[a1,a2,a3,a4,a6]
Generators	[2:27:1]	Generators of the group modulo torsion
j	2838557821679/1653800960	j-invariant
L	7.2819525736499	L(r)(E,1)/r!
Ω	0.90403302497964	Real period
R	0.25171759398024	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	57680u1 64890u1 36050c1 50470i1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7210j1

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
-	1	-	-	-2	-4	-8	7	-6	3	0	-2	-7	-7	7	3	-3	-3	7	-10	9	-13	-14	-6	-6

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Quadratic twists for elliptic curve 7210j1

-4	-3	5	-7
57680u1	64890u1	36050c1	50470i1

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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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