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	2	Product of Tamagawa factors cp
Δ	6380 = 22 · 5 · 11 · 29	Discriminant
Eigenvalues	2-  0 5-  4 11+  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-34027,2424399]	[a1,a2,a3,a4,a6]
j	4356951542679127041/6380	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	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	25520s4 102080e4 28710k4 15950a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3190d4

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 3190d4

-4	8	-3	5	-11	29
25520s4	102080e4	28710k4	15950a4	35090i4	92510k4

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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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