Cremona's table of elliptic curves

Curve 96832bb1

96832 = 26 · 17 · 89



Data for elliptic curve 96832bb1

Field Data Notes
Atkin-Lehner 2- 17- 89+ Signs for the Atkin-Lehner involutions
Class 96832bb Isogeny class
Conductor 96832 Conductor
∏ cp 24 Product of Tamagawa factors cp
deg 159744 Modular degree for the optimal curve
Δ 10201562611712 = 218 · 173 · 892 Discriminant
Eigenvalues 2-  2 -2 -2  4 -2 17-  4 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-8449,259233] [a1,a2,a3,a4,a6]
Generators [357:6528:1] Generators of the group modulo torsion
j 254478514753/38915873 j-invariant
L 8.1346482693269 L(r)(E,1)/r!
Ω 0.6932793805452 Real period
R 1.9555964745263 Regulator
r 1 Rank of the group of rational points
S 0.99999999933506 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 96832h1 24208h1 Quadratic twists by: -4 8


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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