Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694bt |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
26057702151624 = 23 · 3 · 113 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 1 4 11+ 13+ -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11580,-416811] |
[a1,a2,a3,a4,a6] |
j |
158171/24 |
j-invariant |
L |
2.7894791515093 |
L(r)(E,1)/r! |
Ω |
0.46491361198631 |
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 |
122694d1 122694f1 |
Quadratic twists by: -11 13 |