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	1610d	Isogeny class
Conductor	1610	Conductor
∏ cp	36	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	12622400 = 26 · 52 · 73 · 23	Discriminant
Eigenvalues	2- -2 5+ 7-  0  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-151,681]	[a1,a2,a3,a4,a6]
Generators	[-14:17:1]	Generators of the group modulo torsion
j	380920459249/12622400	j-invariant
L	2.945888697275	L(r)(E,1)/r!
Ω	2.2348305208386	Real period
R	1.3181709618721	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	12880n1 51520bg1 14490ba1 8050g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1610d1

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

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Quadratic twists for elliptic curve 1610d1

-4	8	-3	5	-7	-23
12880n1	51520bg1	14490ba1	8050g1	11270p1	37030q1

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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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