Cremona's table of elliptic curves

4950 = 2 · 3² · 5² · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 11+	Signs for the Atkin-Lehner involutions
Class	4950b	Isogeny class
Conductor	4950	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	6549518250000 = 24 · 39 · 56 · 113	Discriminant
Eigenvalues	2+ 3+ 5+ -2 11+ -2  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-19617,-1045459]	[a1,a2,a3,a4,a6]
Generators	[-82:123:1]	Generators of the group modulo torsion
j	2714704875/21296	j-invariant
L	2.6227156111773	L(r)(E,1)/r!
Ω	0.4035950264855	Real period
R	3.2491921840761	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	39600ce3 4950z1 198c3 54450ed3	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4950b3

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

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Quadratic twists for elliptic curve 4950b3

-4	-3	5	-11
39600ce3	4950z1	198c3	54450ed3

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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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