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	1950d	Isogeny class
Conductor	1950	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	8960	Modular degree for the optimal curve
Δ	33696000000000 = 214 · 34 · 59 · 13	Discriminant
Eigenvalues	2+ 3+ 5-  4 -6 13+  4  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-8075,-7875]	[a1,a2,a3,a4,a6]
j	29819839301/17252352	j-invariant
L	1.1040566303406	L(r)(E,1)/r!
Ω	0.55202831517028	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	15600cr1 62400dv1 5850by1 1950bb1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1950d1

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

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Quadratic twists for elliptic curve 1950d1

-4	8	-3	5	-7	13
15600cr1	62400dv1	5850by1	1950bb1	95550fw1	25350cm1

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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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