Cremona's table of elliptic curves

190 = 2 · 5 · 19

Field	Data	Notes
Atkin-Lehner	2- 5- 19-	Signs for the Atkin-Lehner involutions
Class	190c	Isogeny class
Conductor	190	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-342950 = -1 · 2 · 52 · 193	Discriminant
Eigenvalues	2-  1 5- -1  0 -1 -3 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-2780,-56650]	[a1,a2,a3,a4,a6]
j	-2376117230685121/342950	j-invariant
L	1.9724626714757	L(r)(E,1)/r!
Ω	0.32874377857928	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1520j2 6080a2 1710e2 950b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 190c2

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
-	1	-	-1	0	-1	-3	-	3	-3	2	-10	6	2	0	3	3	8	-7	12	-13	14	6	6	-10

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Quadratic twists for elliptic curve 190c2

-4	8	-3	5	-7	-11	13	17	-19	-23
1520j2	6080a2	1710e2	950b2	9310n2	22990l2	32110a2	54910u2	3610e2	100510g2

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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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