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	1950n	Isogeny class
Conductor	1950	Conductor
∏ cp	120	Product of Tamagawa factors cp
Δ	9007984028160000000 = 215 · 36 · 57 · 136	Discriminant
Eigenvalues	2- 3+ 5+ -2  0 13+  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-21814438,-39224901469]	[a1,a2,a3,a4,a6]
j	73474353581350183614361/576510977802240	j-invariant
L	2.0957284377529	L(r)(E,1)/r!
Ω	0.069857614591764	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	15600cd4 62400cy4 5850j4 390d4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1950n4

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

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Quadratic twists for elliptic curve 1950n4

-4	8	-3	5	-7	13
15600cd4	62400cy4	5850j4	390d4	95550jo4	25350c4

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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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