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	127050y	Isogeny class
Conductor	127050	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	37324800	Modular degree for the optimal curve
Δ	-6.5263499194726E+24	Discriminant
Eigenvalues	2+ 3+ 5+ 7- 11- -1 -6 -5	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-259454615,-1613368071795]	[a1,a2,a3,a4,a6]
Generators	[3399583591385788105:-3143820153026225455817:3978109476125]	Generators of the group modulo torsion
j	-43612581618346739773945/147358175518034712	j-invariant
L	3.4672673232863	L(r)(E,1)/r!
Ω	0.018804697555061	Real period
R	23.047880144935	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	127050ip1 11550bj1	Quadratic twists by: 5 -11

Hecke Eigenvalues for elliptic curve 127050y1

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	-6	-5	3	-3	5	-8	0	-1	0	0	0	-2	4	-3	8	10	9	-15	-5

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Quadratic twists for elliptic curve 127050y1

5	-11
127050ip1	11550bj1

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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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