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	1950b	Isogeny class
Conductor	1950	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	33600	Modular degree for the optimal curve
Δ	-1170000 = -1 · 24 · 32 · 54 · 13	Discriminant
Eigenvalues	2+ 3+ 5- -3 -3 13+ -3  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-9116250,-10598103900]	[a1,a2,a3,a4,a6]
j	-134057911417971280740025/1872	j-invariant
L	0.52131082390347	L(r)(E,1)/r!
Ω	0.043442568658623	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	15600co1 62400dt1 5850bw1 1950y2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1950b1

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
+	+	-	-3	-3	+	-3	0	-4	5	-3	12	2	-4	-3	-9	15	-3	7	-8	16	0	1	0	2

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Quadratic twists for elliptic curve 1950b1

-4	8	-3	5	-7	13
15600co1	62400dt1	5850bw1	1950y2	95550fs1	25350ci1

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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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