Cremona's table of elliptic curves

127050 = 2 · 3 · 5² · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 11-	Signs for the Atkin-Lehner involutions
Class	127050ii	Isogeny class
Conductor	127050	Conductor
∏ cp	546	Product of Tamagawa factors cp
deg	92252160	Modular degree for the optimal curve
Δ	-2.009073568284E+27	Discriminant
Eigenvalues	2- 3- 5+ 7- 11- -5  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,164221137,-1998614115783]	[a1,a2,a3,a4,a6]
Generators	[14022:1742589:1]	Generators of the group modulo torsion
j	146234339790153527/599838494072832	j-invariant
L	14.429530928218	L(r)(E,1)/r!
Ω	0.023596849067835	Real period
R	1.1199678493352	Regulator
r	1	Rank of the group of rational points
S	1.0000000008004	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5082c1 127050db1	Quadratic twists by: 5 -11

Hecke Eigenvalues for elliptic curve 127050ii1

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
-	-	+	-	-	-5	6	4	-1	-1	-1	-12	-9	-5	-10	2	13	-11	7	-1	-4	4	11	13	12

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Quadratic twists for elliptic curve 127050ii1

5	-11
5082c1	127050db1

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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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