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	32	Product of Tamagawa factors cp
deg	15360	Modular degree for the optimal curve
Δ	10661625000000 = 26 · 38 · 59 · 13	Discriminant
Eigenvalues	2+ 3- 5- -4  2 13+ -4  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-222451,-40401202]	[a1,a2,a3,a4,a6]
Generators	[-272:149:1]	Generators of the group modulo torsion
j	623295446073461/5458752	j-invariant
L	2.4504572001729	L(r)(E,1)/r!
Ω	0.21983226072867	Real period
R	1.3933676022177	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	15600bu1 62400by1 5850bz1 1950u1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1950l1

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 1950l1

-4	8	-3	5	-7	13
15600bu1	62400by1	5850bz1	1950u1	95550cq1	25350dm1

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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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