Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694cy |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
5241600 |
Modular degree for the optimal curve |
Δ |
4.944380190937E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 2 11- 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2065775,-402010311] |
[a1,a2,a3,a4,a6] |
j |
674636521/342144 |
j-invariant |
L |
9.3011089062284 |
L(r)(E,1)/r! |
Ω |
0.1328729755851 |
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 |
11154t1 122694bh1 |
Quadratic twists by: -11 13 |