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	1950ba	Isogeny class
Conductor	1950	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	4016390625000 = 23 · 32 · 59 · 134	Discriminant
Eigenvalues	2- 3- 5-  2  2 13+  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-4013,-16983]	[a1,a2,a3,a4,a6]
j	3659383421/2056392	j-invariant
L	3.8716713945973	L(r)(E,1)/r!
Ω	0.64527856576622	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	15600bs2 62400bv2 5850u2 1950e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1950ba2

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

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Quadratic twists for elliptic curve 1950ba2

-4	8	-3	5	-7	13
15600bs2	62400bv2	5850u2	1950e2	95550ih2	25350br2

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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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