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	1950v	Isogeny class
Conductor	1950	Conductor
∏ cp	320	Product of Tamagawa factors cp
deg	5120	Modular degree for the optimal curve
Δ	-3234816000000 = -1 · 216 · 35 · 56 · 13	Discriminant
Eigenvalues	2- 3- 5+ -4 -4 13+ -2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-488,86592]	[a1,a2,a3,a4,a6]
Generators	[112:-1256:1]	Generators of the group modulo torsion
j	-822656953/207028224	j-invariant
L	4.4461010705517	L(r)(E,1)/r!
Ω	0.64865466558775	Real period
R	0.085679277942969	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	15600bd1 62400bh1 5850m1 78a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1950v1

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

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Quadratic twists for elliptic curve 1950v1

-4	8	-3	5	-7	13
15600bd1	62400bh1	5850m1	78a1	95550hl1	25350bg1

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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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