Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694bw |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
-258223567536792 = -1 · 23 · 34 · 119 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ 13+ 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-561987,161925369] |
[a1,a2,a3,a4,a6] |
j |
-49258558427/648 |
j-invariant |
L |
6.0431190946786 |
L(r)(E,1)/r! |
Ω |
0.503593227195 |
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 |
122694g1 122694h1 |
Quadratic twists by: -11 13 |