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	1950f	Isogeny class
Conductor	1950	Conductor
∏ cp	7	Product of Tamagawa factors cp
deg	3864	Modular degree for the optimal curve
Δ	-5962412851200 = -1 · 223 · 37 · 52 · 13	Discriminant
Eigenvalues	2+ 3- 5+  0  4 13+  0  1	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-8991,-349262]	[a1,a2,a3,a4,a6]
j	-3214683778008145/238496514048	j-invariant
L	1.7087284288234	L(r)(E,1)/r!
Ω	0.24410406126048	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	15600y1 62400x1 5850bl1 1950s1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1950f1

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
+	-	+	0	4	+	0	1	4	-3	4	-5	9	2	-3	1	10	4	-9	7	4	11	6	10	-12

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Quadratic twists for elliptic curve 1950f1

-4	8	-3	5	-7	13
15600y1	62400x1	5850bl1	1950s1	95550bm1	25350cr1

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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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