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	1950o	Isogeny class
Conductor	1950	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	648	Modular degree for the optimal curve
Δ	-51175800 = -1 · 23 · 39 · 52 · 13	Discriminant
Eigenvalues	2- 3+ 5+  4  0 13+  0  5	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,12,-339]	[a1,a2,a3,a4,a6]
j	7604375/2047032	j-invariant
L	2.82114219111	L(r)(E,1)/r!
Ω	0.94038073036998	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	15600cg1 62400dc1 5850k1 1950m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1950o1

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	+	0	5	0	3	-4	7	3	-2	-9	-9	6	8	-5	-3	4	11	6	6	-8

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Quadratic twists for elliptic curve 1950o1

-4	8	-3	5	-7	13
15600cg1	62400dc1	5850k1	1950m1	95550jp1	25350h1

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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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