Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520bj |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3612672 |
Modular degree for the optimal curve |
Δ |
3.235735924128E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27239988,54720877088] |
[a1,a2,a3,a4,a6] |
Generators |
[108102:2678248:27] |
Generators of the group modulo torsion |
j |
748612322643635839936/10836414140625 |
j-invariant |
L |
6.678084072829 |
L(r)(E,1)/r! |
Ω |
0.18985192457183 |
Real period |
R |
8.7938061259247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005324 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520bo1 41760be1 27840u1 |
Quadratic twists by: -4 8 -3 |