Atkin-Lehner |
2- 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920fb |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-2708989194240 = -1 · 212 · 36 · 5 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -1 7 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1872,85104] |
[a1,a2,a3,a4,a6] |
j |
-242970624/907235 |
j-invariant |
L |
4.2388097084502 |
L(r)(E,1)/r! |
Ω |
0.70646820788009 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7245o1 12880r1 |
Quadratic twists by: -4 -3 |