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	4	Product of Tamagawa factors cp
Δ	-1813439640250 = -1 · 2 · 53 · 72 · 236	Discriminant
Eigenvalues	2- -2 5+ 7-  0  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-441,-64925]	[a1,a2,a3,a4,a6]
Generators	[10050:22145:216]	Generators of the group modulo torsion
j	-9486391169809/1813439640250	j-invariant
L	2.945888697275	L(r)(E,1)/r!
Ω	0.37247175347309	Real period
R	7.9090257712327	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	12880n4 51520bg4 14490ba4 8050g4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1610d4

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 1610d4

-4	8	-3	5	-7	-23
12880n4	51520bg4	14490ba4	8050g4	11270p4	37030q4

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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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