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	1950j	Isogeny class
Conductor	1950	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	3422250 = 2 · 34 · 53 · 132	Discriminant
Eigenvalues	2+ 3- 5-  0 -6 13+  0  6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-66,178]	[a1,a2,a3,a4,a6]
Generators	[-4:21:1]	Generators of the group modulo torsion
j	248858189/27378	j-invariant
L	2.5681211733003	L(r)(E,1)/r!
Ω	2.4279547902651	Real period
R	0.26443255694023	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	15600bo2 62400bp2 5850bu2 1950t2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1950j2

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

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Quadratic twists for elliptic curve 1950j2

-4	8	-3	5	-7	13
15600bo2	62400bp2	5850bu2	1950t2	95550cx2	25350dg2

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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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