Atkin-Lehner |
2- 5- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101680t |
Isogeny class |
Conductor |
101680 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
54607872 |
Modular degree for the optimal curve |
Δ |
6.4680743164062E+26 |
Discriminant |
Eigenvalues |
2- -2 5- 2 4 0 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-282494360,-1357518157100] |
[a1,a2,a3,a4,a6] |
Generators |
[-5370:68200:1] |
Generators of the group modulo torsion |
j |
608685716070311043235420441/157911970615386962890625 |
j-invariant |
L |
5.8125412563224 |
L(r)(E,1)/r! |
Ω |
0.037532837568685 |
Real period |
R |
3.5196702169541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999865779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6355g1 |
Quadratic twists by: -4 |