Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694bs |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
29082240 |
Modular degree for the optimal curve |
Δ |
-4.4528582153182E+24 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 11+ 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-269640940,1707133813133] |
[a1,a2,a3,a4,a6] |
j |
-32193903207227411/66119763456 |
j-invariant |
L |
4.1932118171149 |
L(r)(E,1)/r! |
Ω |
0.07765207774758 |
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 |
122694c1 122694e1 |
Quadratic twists by: -11 13 |