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	4	Product of Tamagawa factors cp
Δ	-112524368281600 = -1 · 224 · 52 · 11 · 293	Discriminant
Eigenvalues	2+ -2 5-  2 11- -4  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1238,-510744]	[a1,a2,a3,a4,a6]
Generators	[14260:198113:64]	Generators of the group modulo torsion
j	-209595169258201/112524368281600	j-invariant
L	2.0215915787873	L(r)(E,1)/r!
Ω	0.26627764036867	Real period
R	7.592044063438	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	25520q3 102080b3 28710bd3 15950o3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3190c3

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 3190c3

-4	8	-3	5	-11	29
25520q3	102080b3	28710bd3	15950o3	35090z3	92510t3

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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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