Atkin-Lehner |
5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
101695b |
Isogeny class |
Conductor |
101695 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
487872 |
Modular degree for the optimal curve |
Δ |
373750590272125 = 53 · 11 · 437 |
Discriminant |
Eigenvalues |
2 1 5+ 4 11+ 3 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-19106,403681] |
[a1,a2,a3,a4,a6] |
j |
122023936/59125 |
j-invariant |
L |
8.5827881549315 |
L(r)(E,1)/r! |
Ω |
0.47682157922481 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2365d1 |
Quadratic twists by: -43 |