Cremona's table of elliptic curves

Curve 99600bv3

99600 = 24 · 3 · 52 · 83



Data for elliptic curve 99600bv3

Field Data Notes
Atkin-Lehner 2- 3+ 5+ 83- Signs for the Atkin-Lehner involutions
Class 99600bv Isogeny class
Conductor 99600 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ -4.1003989344E+24 Discriminant
Eigenvalues 2- 3+ 5+  0  4 -2  6  0 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-28507408,-113673562688] [a1,a2,a3,a4,a6]
Generators [26804340248:12790609291200:117649] Generators of the group modulo torsion
j -40032890408196055369/64068733350000000 j-invariant
L 6.2444641744622 L(r)(E,1)/r!
Ω 0.030944017151631 Real period
R 12.61242228564 Regulator
r 1 Rank of the group of rational points
S 0.99999999839453 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 12450w4 19920m4 Quadratic twists by: -4 5


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