Atkin-Lehner |
2- 3- 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103350by |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
19537920 |
Modular degree for the optimal curve |
Δ |
1.7545647642847E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-57648188,-155957281008] |
[a1,a2,a3,a4,a6] |
j |
1356003060815135596352761/112292144914223888640 |
j-invariant |
L |
8.8125973417691 |
L(r)(E,1)/r! |
Ω |
0.055078735459712 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20670j1 |
Quadratic twists by: 5 |