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	4950z	Isogeny class
Conductor	4950	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	2989509187500 = 22 · 33 · 56 · 116	Discriminant
Eigenvalues	2- 3+ 5+ -2 11- -2 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-3680,-20553]	[a1,a2,a3,a4,a6]
Generators	[-27:255:1]	Generators of the group modulo torsion
j	13060888875/7086244	j-invariant
L	5.3077815391838	L(r)(E,1)/r!
Ω	0.65362306037588	Real period
R	0.67671285650625	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	39600bx2 4950b4 198d2 54450k2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4950z2

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 4950z2

-4	-3	5	-11
39600bx2	4950b4	198d2	54450k2

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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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