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	1610c	Isogeny class
Conductor	1610	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-6366992112460 = -1 · 22 · 5 · 712 · 23	Discriminant
Eigenvalues	2-  0 5+ 7-  0 -6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,2,121401]	[a1,a2,a3,a4,a6]
Generators	[61:557:1]	Generators of the group modulo torsion
j	1367631/6366992112460	j-invariant
L	3.7578211363811	L(r)(E,1)/r!
Ω	0.59774066866808	Real period
R	1.0477846925252	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	12880m4 51520be3 14490bd4 8050e4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1610c4

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	-6	-2	-4	+	-2	-8	10	2	-4	-4	-6	4	10	-12	-8	-2	12	4	-18	14

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Quadratic twists for elliptic curve 1610c4

-4	8	-3	5	-7	-23
12880m4	51520be3	14490bd4	8050e4	11270o4	37030p3

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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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