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	12	Product of Tamagawa factors cp
Δ	1919709260 = 22 · 5 · 73 · 234	Discriminant
Eigenvalues	2-  0 5+ 7-  0 -6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-36598,2703961]	[a1,a2,a3,a4,a6]
Generators	[113:-15:1]	Generators of the group modulo torsion
j	5421065386069310769/1919709260	j-invariant
L	3.7578211363811	L(r)(E,1)/r!
Ω	1.1954813373362	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	12880m3 51520be4 14490bd3 8050e3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1610c3

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 1610c3

-4	8	-3	5	-7	-23
12880m3	51520be4	14490bd3	8050e3	11270o3	37030p4

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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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