Cremona's table of elliptic curves

Curve 125939a1

125939 = 11 · 1072



Data for elliptic curve 125939a1

Field Data Notes
Atkin-Lehner 11- 107- Signs for the Atkin-Lehner involutions
Class 125939a Isogeny class
Conductor 125939 Conductor
∏ cp 2 Product of Tamagawa factors cp
deg 240408 Modular degree for the optimal curve
Δ -16508033870339 = -1 · 11 · 1076 Discriminant
Eigenvalues  2 -1 -1  2 11-  4  2  0 Hecke eigenvalues for primes up to 20
Equation [0,-1,1,-3816,-214245] [a1,a2,a3,a4,a6]
Generators [85634539199790:-13293252801295991:3553559576] Generators of the group modulo torsion
j -4096/11 j-invariant
L 11.327245459112 L(r)(E,1)/r!
Ω 0.28205825088412 Real period
R 20.079620829398 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 11a3 Quadratic twists by: -107


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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