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	8	Product of Tamagawa factors cp
Δ	1474019775303680 = 212 · 5 · 112 · 296	Discriminant
Eigenvalues	2+ -2 5-  2 11- -4  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-103638,-12716824]	[a1,a2,a3,a4,a6]
Generators	[-5001:12343:27]	Generators of the group modulo torsion
j	123104735252886403801/1474019775303680	j-invariant
L	2.0215915787873	L(r)(E,1)/r!
Ω	0.26627764036867	Real period
R	3.796022031719	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	25520q4 102080b4 28710bd4 15950o4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3190c4

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 3190c4

-4	8	-3	5	-11	29
25520q4	102080b4	28710bd4	15950o4	35090z4	92510t4

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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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