Atkin-Lehner |
2- 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126gb |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
79441217856 = 26 · 311 · 72 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- 13- 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1931,-29221] |
[a1,a2,a3,a4,a6] |
j |
22281070777/2223936 |
j-invariant |
L |
8.698324801818 |
L(r)(E,1)/r! |
Ω |
0.72486042901442 |
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 |
42042bh1 126126en1 |
Quadratic twists by: -3 -7 |