Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108192br |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1204224 |
Modular degree for the optimal curve |
Δ |
-79834284773376 = -1 · 212 · 3 · 710 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -6 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1501425,-708615489] |
[a1,a2,a3,a4,a6] |
j |
-323515119424/69 |
j-invariant |
L |
1.0910975979171 |
L(r)(E,1)/r! |
Ω |
0.068193600121655 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108192j1 108192y1 |
Quadratic twists by: -4 -7 |