Cremona's table of elliptic curves

1610 = 2 · 5 · 7 · 23

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7+ 23+	Signs for the Atkin-Lehner involutions
Class	1610a	Isogeny class
Conductor	1610	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1344	Modular degree for the optimal curve
Δ	-37918720000 = -1 · 214 · 54 · 7 · 232	Discriminant
Eigenvalues	2+  0 5+ 7+  0  4  4 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-890,-13644]	[a1,a2,a3,a4,a6]
Generators	[548:12526:1]	Generators of the group modulo torsion
j	-78013216986489/37918720000	j-invariant
L	1.967397686604	L(r)(E,1)/r!
Ω	0.42712108938373	Real period
R	2.3030912491849	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	12880s1 51520r1 14490bx1 8050q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1610a1

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

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Quadratic twists for elliptic curve 1610a1

-4	8	-3	5	-7	-23
12880s1	51520r1	14490bx1	8050q1	11270f1	37030j1

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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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