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	1950i	Isogeny class
Conductor	1950	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	-548437500 = -1 · 22 · 33 · 58 · 13	Discriminant
Eigenvalues	2+ 3- 5+ -2  4 13- -8 -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,99,-1052]	[a1,a2,a3,a4,a6]
Generators	[17:66:1]	Generators of the group modulo torsion
j	6967871/35100	j-invariant
L	2.5767918942837	L(r)(E,1)/r!
Ω	0.82584135880098	Real period
R	0.52003367370397	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	15600bh1 62400n1 5850br1 390e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1950i1

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

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Quadratic twists for elliptic curve 1950i1

-4	8	-3	5	-7	13
15600bh1	62400n1	5850br1	390e1	95550x1	25350cw1

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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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