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	4950bt	Isogeny class
Conductor	4950	Conductor
∏ cp	648	Product of Tamagawa factors cp
Δ	-4292292280320000 = -1 · 218 · 39 · 54 · 113	Discriminant
Eigenvalues	2- 3- 5- -1 11- -4 -3 -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-27455,3612647]	[a1,a2,a3,a4,a6]
Generators	[-141:2230:1]	Generators of the group modulo torsion
j	-5023028944825/9420668928	j-invariant
L	5.4173317246538	L(r)(E,1)/r!
Ω	0.39023869711614	Real period
R	0.19280691267677	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	39600ej2 1650j2 4950n2 54450cx2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4950bt2

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
-	-	-	-1	-	-4	-3	-1	9	-6	-10	-1	-9	-4	3	12	3	-4	-4	-3	-4	11	-6	0	-1

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Quadratic twists for elliptic curve 4950bt2

-4	-3	5	-11
39600ej2	1650j2	4950n2	54450cx2

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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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