Atkin-Lehner |
2+ 5+ 23+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
118450b |
Isogeny class |
Conductor |
118450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8640000 |
Modular degree for the optimal curve |
Δ |
-4.72246239232E+22 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 -3 -1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13547567,-21852568659] |
[a1,a2,a3,a4,a6] |
j |
-17598985224460832564289/3022375931084800000 |
j-invariant |
L |
0.15592257458115 |
L(r)(E,1)/r! |
Ω |
0.038980634502149 |
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 |
23690f1 |
Quadratic twists by: 5 |