Cremona's table of elliptic curves

3190 = 2 · 5 · 11 · 29

Field	Data	Notes
Atkin-Lehner	2+ 5- 11- 29+	Signs for the Atkin-Lehner involutions
Class	3190c	Isogeny class
Conductor	3190	Conductor
∏ cp	36	Product of Tamagawa factors cp
deg	3456	Modular degree for the optimal curve
Δ	-154396000000 = -1 · 28 · 56 · 113 · 29	Discriminant
Eigenvalues	2+ -2 5-  2 11- -4  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,137,18906]	[a1,a2,a3,a4,a6]
Generators	[20:162:1]	Generators of the group modulo torsion
j	287365339799/154396000000	j-invariant
L	2.0215915787873	L(r)(E,1)/r!
Ω	0.79883292110601	Real period
R	2.5306813544793	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	25520q1 102080b1 28710bd1 15950o1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3190c1

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

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Quadratic twists for elliptic curve 3190c1

-4	8	-3	5	-11	29
25520q1	102080b1	28710bd1	15950o1	35090z1	92510t1

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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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