Cremona's table of elliptic curves

1900 = 2² · 5² · 19

Field	Data	Notes
Atkin-Lehner	2- 5+ 19+	Signs for the Atkin-Lehner involutions
Class	1900a	Isogeny class
Conductor	1900	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-14101562500000000 = -1 · 28 · 516 · 192	Discriminant
Eigenvalues	2- -2 5+ -2  0 -6 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,22092,5579188]	[a1,a2,a3,a4,a6]
j	298091207216/3525390625	j-invariant
L	0.58467875587989	L(r)(E,1)/r!
Ω	0.29233937793995	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7600q2 30400m2 17100q2 380b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1900a2

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	0	-6	-2	+	2	-2	4	10	-10	-6	6	-6	-4	2	2	12	6	8	2	2	18

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Quadratic twists for elliptic curve 1900a2

-4	8	-3	5	-7	-19
7600q2	30400m2	17100q2	380b2	93100y2	36100g2

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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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