Atkin-Lehner |
3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
126075o |
Isogeny class |
Conductor |
126075 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1814400 |
Modular degree for the optimal curve |
Δ |
-2054048982338671875 = -1 · 33 · 58 · 417 |
Discriminant |
Eigenvalues |
0 3+ 5- -2 3 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,280167,-38781682] |
[a1,a2,a3,a4,a6] |
j |
1310720/1107 |
j-invariant |
L |
1.733000202606 |
L(r)(E,1)/r! |
Ω |
0.14441675240693 |
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 |
126075t1 3075n1 |
Quadratic twists by: 5 41 |