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	3190d	Isogeny class
Conductor	3190	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	40704400 = 24 · 52 · 112 · 292	Discriminant
Eigenvalues	2-  0 5-  4 11+  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-2127,38279]	[a1,a2,a3,a4,a6]
j	1063738180197441/40704400	j-invariant
L	3.8219000641746	L(r)(E,1)/r!
Ω	1.9109500320873	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	25520s2 102080e2 28710k2 15950a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3190d2

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
-	0	-	4	+	2	2	4	0	-	-8	2	-6	12	12	14	-12	-2	-12	0	-14	-8	8	18	6

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Quadratic twists for elliptic curve 3190d2

-4	8	-3	5	-11	29
25520s2	102080e2	28710k2	15950a2	35090i2	92510k2

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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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