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	1950l	Isogeny class
Conductor	1950	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	113670247640625000 = 23 · 316 · 59 · 132	Discriminant
Eigenvalues	2+ 3- 5- -4  2 13+ -4  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-227451,-38491202]	[a1,a2,a3,a4,a6]
Generators	[-298:1836:1]	Generators of the group modulo torsion
j	666276475992821/58199166792	j-invariant
L	2.4504572001729	L(r)(E,1)/r!
Ω	0.21983226072867	Real period
R	0.69668380110887	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	15600bu2 62400by2 5850bz2 1950u2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1950l2

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	2	+	-4	2	6	-2	-4	6	-6	-8	-8	-10	-14	10	-4	8	-10	-8	-12	-18	-6

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Quadratic twists for elliptic curve 1950l2

-4	8	-3	5	-7	13
15600bu2	62400by2	5850bz2	1950u2	95550cq2	25350dm2

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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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