Cremona's table of elliptic curves

1950 = 2 · 3 · 5² · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 13-	Signs for the Atkin-Lehner involutions
Class	1950q	Isogeny class
Conductor	1950	Conductor
∏ cp	320	Product of Tamagawa factors cp
Δ	165185471002500000 = 25 · 34 · 57 · 138	Discriminant
Eigenvalues	2- 3+ 5+ -4  0 13-  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-155213,13034531]	[a1,a2,a3,a4,a6]
Generators	[-285:5992:1]	Generators of the group modulo torsion
j	26465989780414729/10571870144160	j-invariant
L	3.4821169178771	L(r)(E,1)/r!
Ω	0.29309297952231	Real period
R	0.1485073492528	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	15600cl4 62400cp3 5850r4 390g3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1950q3

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
-	+	+	-4	0	-	2	4	-8	2	-8	-2	-6	-12	0	-10	0	-10	4	-16	6	-8	4	-14	6

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Quadratic twists for elliptic curve 1950q3

-4	8	-3	5	-7	13
15600cl4	62400cp3	5850r4	390g3	95550jf3	25350g3

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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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