Atkin-Lehner |
2- 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
43700o |
Isogeny class |
Conductor |
43700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
381938000 = 24 · 53 · 192 · 232 |
Discriminant |
Eigenvalues |
2- 2 5- 4 0 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-913,-10278] |
[a1,a2,a3,a4,a6] |
j |
42129047552/190969 |
j-invariant |
L |
5.212090363913 |
L(r)(E,1)/r! |
Ω |
0.86868172730873 |
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 |
43700n1 |
Quadratic twists by: 5 |