Cremona's table of elliptic curves

Curve 89232k3

89232 = 24 · 3 · 11 · 132



Data for elliptic curve 89232k3

Field Data Notes
Atkin-Lehner 2+ 3+ 11- 13+ Signs for the Atkin-Lehner involutions
Class 89232k Isogeny class
Conductor 89232 Conductor
∏ cp 128 Product of Tamagawa factors cp
Δ -3.7188500581406E+20 Discriminant
Eigenvalues 2+ 3+ -2  4 11- 13+ -6  0 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,440696,920811904] [a1,a2,a3,a4,a6]
j 1915049403068/75239967231 j-invariant
L 1.0264512933711 L(r)(E,1)/r!
Ω 0.12830641148738 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 44616s3 6864d4 Quadratic twists by: -4 13


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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