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	1950p	Isogeny class
Conductor	1950	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	-46800 = -1 · 24 · 32 · 52 · 13	Discriminant
Eigenvalues	2- 3+ 5+ -1 -3 13- -1 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,2,11]	[a1,a2,a3,a4,a6]
Generators	[-1:3:1]	Generators of the group modulo torsion
j	34295/1872	j-invariant
L	3.6120560497838	L(r)(E,1)/r!
Ω	2.7258303199182	Real period
R	0.16564017316989	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	15600ch1 62400ch1 5850o1 1950k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1950p1

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	-3	-	-1	-8	4	-7	1	4	-6	-12	3	5	-9	5	-11	8	0	-8	7	-8	6

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Quadratic twists for elliptic curve 1950p1

-4	8	-3	5	-7	13
15600ch1	62400ch1	5850o1	1950k1	95550jk1	25350a1

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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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