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	1950y	Isogeny class
Conductor	1950	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-18281250000 = -1 · 24 · 32 · 510 · 13	Discriminant
Eigenvalues	2- 3- 5+  3 -3 13-  3  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-227906263,-1324307174983]	[a1,a2,a3,a4,a6]
j	-134057911417971280740025/1872	j-invariant
L	3.8856214655153	L(r)(E,1)/r!
Ω	0.019428107327576	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	25	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	15600bm2 62400o2 5850q2 1950b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1950y2

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 1950y2

-4	8	-3	5	-7	13
15600bm2	62400o2	5850q2	1950b1	95550gr2	25350bf2

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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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