Cremona's table of elliptic curves

19220 = 2² · 5 · 31²

Field	Data	Notes
Atkin-Lehner	2- 5+ 31-	Signs for the Atkin-Lehner involutions
Class	19220a	Isogeny class
Conductor	19220	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-846067909141472000 = -1 · 28 · 53 · 319	Discriminant
Eigenvalues	2- -1 5+ -4  0 -2  3 -7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,56379,-43972655]	[a1,a2,a3,a4,a6]
Generators	[2540680:36032695:6859]	Generators of the group modulo torsion
j	87228416/3723875	j-invariant
L	2.4074189772412	L(r)(E,1)/r!
Ω	0.13512684807173	Real period
R	8.9079964921676	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	76880n2 96100c2 620a2	Quadratic twists by: -4 5 -31

Hecke Eigenvalues for elliptic curve 19220a2

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	+	-4	0	-2	3	-7	0	6	-	-5	-3	1	6	-9	-3	4	-10	3	1	10	9	-12	2

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Quadratic twists for elliptic curve 19220a2

-4	5	-31
76880n2	96100c2	620a2

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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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