Cremona's table of elliptic curves

3610 = 2 · 5 · 19²

Field	Data	Notes
Atkin-Lehner	2+ 5+ 19+	Signs for the Atkin-Lehner involutions
Class	3610a	Isogeny class
Conductor	3610	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	30096	Modular degree for the optimal curve
Δ	-21738960692480000 = -1 · 211 · 54 · 198	Discriminant
Eigenvalues	2+ -1 5+  2 -3  6  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,55587,-4964483]	[a1,a2,a3,a4,a6]
Generators	[721:19902:1]	Generators of the group modulo torsion
j	1118413511/1280000	j-invariant
L	2.115879092361	L(r)(E,1)/r!
Ω	0.20574780751913	Real period
R	5.1419237897936	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	28880p1 115520s1 32490bs1 18050n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3610a1

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
+	-1	+	2	-3	6	2	+	-8	-2	-8	8	5	0	-6	6	5	14	-5	-6	-9	8	-11	14	-15

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Quadratic twists for elliptic curve 3610a1

-4	8	-3	5	-19
28880p1	115520s1	32490bs1	18050n1	3610h1

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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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