Cremona's table of elliptic curves

1210 = 2 · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	1210j	Isogeny class
Conductor	1210	Conductor
∏ cp	84	Product of Tamagawa factors cp
Δ	-5108444954624000 = -1 · 221 · 53 · 117	Discriminant
Eigenvalues	2-  1 5+ -5 11- -2 -3  7	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,35874,-2229820]	[a1,a2,a3,a4,a6]
Generators	[76:930:1]	Generators of the group modulo torsion
j	2882081488391/2883584000	j-invariant
L	3.6123376270105	L(r)(E,1)/r!
Ω	0.23449009312084	Real period
R	0.18339375790605	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	9680s2 38720bk2 10890bb2 6050h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1210j2

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	+	-5	-	-2	-3	7	-6	3	-7	-7	-6	-8	6	-3	-6	1	8	3	-2	10	6	9	-4

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Quadratic twists for elliptic curve 1210j2

-4	8	-3	5	-7	-11
9680s2	38720bk2	10890bb2	6050h2	59290ej2	110c2

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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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