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	3610h	Isogeny class
Conductor	3610	Conductor
∏ cp	22	Product of Tamagawa factors cp
deg	1584	Modular degree for the optimal curve
Δ	-462080000 = -1 · 211 · 54 · 192	Discriminant
Eigenvalues	2-  1 5+  2 -3 -6  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,154,740]	[a1,a2,a3,a4,a6]
Generators	[8:46:1]	Generators of the group modulo torsion
j	1118413511/1280000	j-invariant
L	5.537798939577	L(r)(E,1)/r!
Ω	1.1096620039499	Real period
R	0.22684216700323	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	28880v1 115520z1 32490w1 18050j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3610h1

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 3610h1

-4	8	-3	5	-19
28880v1	115520z1	32490w1	18050j1	3610a1

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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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