Cremona's table of elliptic curves

Curve 108192ch2

108192 = 25 · 3 · 72 · 23



Data for elliptic curve 108192ch2

Field Data Notes
Atkin-Lehner 2- 3- 7- 23- Signs for the Atkin-Lehner involutions
Class 108192ch Isogeny class
Conductor 108192 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ 38491530158592 = 29 · 34 · 79 · 23 Discriminant
Eigenvalues 2- 3- -4 7- -4 -2  6  6 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-83120,9191244] [a1,a2,a3,a4,a6]
Generators [307:3564:1] Generators of the group modulo torsion
j 3073924664/1863 j-invariant
L 5.6237421534543 L(r)(E,1)/r!
Ω 0.64065628765353 Real period
R 4.3890478154951 Regulator
r 1 Rank of the group of rational points
S 0.99999999890401 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 108192bi2 108192bm2 Quadratic twists by: -4 -7


Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations