Atkin-Lehner |
5+ 37+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
61975b |
Isogeny class |
Conductor |
61975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1622001953125 = 510 · 37 · 672 |
Discriminant |
Eigenvalues |
0 1 5+ 3 5 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9633,355519] |
[a1,a2,a3,a4,a6] |
j |
6327518887936/103808125 |
j-invariant |
L |
3.3797054976082 |
L(r)(E,1)/r! |
Ω |
0.8449263740063 |
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 |
12395c1 |
Quadratic twists by: 5 |