Atkin-Lehner |
2- 3+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
128100l |
Isogeny class |
Conductor |
128100 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21749760 |
Modular degree for the optimal curve |
Δ |
4.7878000488281E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-163397533,-803871989438] |
[a1,a2,a3,a4,a6] |
j |
1929835058240580006313984/191512001953125 |
j-invariant |
L |
4.2226813855279 |
L(r)(E,1)/r! |
Ω |
0.042226801162071 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25620g1 |
Quadratic twists by: 5 |