Atkin-Lehner |
2+ 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064br |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-331802961025499136 = -1 · 216 · 315 · 233 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 -3 -1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-155297,36320319] |
[a1,a2,a3,a4,a6] |
Generators |
[283:3888:1] [445:-7452:1] |
Generators of the group modulo torsion |
j |
-6320272110063268/5062911392601 |
j-invariant |
L |
10.027472358923 |
L(r)(E,1)/r! |
Ω |
0.2792835807856 |
Real period |
R |
0.19946815214718 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999977466 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064ci1 16008d1 |
Quadratic twists by: -4 8 |