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	1210g	Isogeny class
Conductor	1210	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-2853116706110 = -1 · 2 · 5 · 1111	Discriminant
Eigenvalues	2+ -1 5- -3 11-  6  7 -5	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-718742,234235786]	[a1,a2,a3,a4,a6]
Generators	[13395:623:27]	Generators of the group modulo torsion
j	-23178622194826561/1610510	j-invariant
L	1.6859501988891	L(r)(E,1)/r!
Ω	0.6103873966184	Real period
R	0.69052466033434	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	9680y2 38720l2 10890bu2 6050z2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1210g2

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	-	-3	-	6	7	-5	-6	-5	-3	3	-2	-4	-2	-1	-10	-7	8	7	-14	-10	6	-15	-12

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Quadratic twists for elliptic curve 1210g2

-4	8	-3	5	-7	-11
9680y2	38720l2	10890bu2	6050z2	59290o2	110a2

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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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