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	1610b	Isogeny class
Conductor	1610	Conductor
∏ cp	96	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	139540889600 = 216 · 52 · 7 · 233	Discriminant
Eigenvalues	2-  0 5+ 7+ -2  0  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1348,6631]	[a1,a2,a3,a4,a6]
Generators	[-5:117:1]	Generators of the group modulo torsion
j	270701905514769/139540889600	j-invariant
L	3.6720596389129	L(r)(E,1)/r!
Ω	0.91179137645729	Real period
R	0.16780426850404	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	12880o1 51520x1 14490t1 8050h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1610b1

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	+	+	-2	0	2	0	-	-6	-10	-4	-10	-8	-4	-8	10	-2	12	8	-4	-14	-4	10	14

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Quadratic twists for elliptic curve 1610b1

-4	8	-3	5	-7	-23
12880o1	51520x1	14490t1	8050h1	11270s1	37030s1

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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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