Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694df |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
120219787641096 = 23 · 33 · 117 · 134 |
Discriminant |
Eigenvalues |
2- 3- 3 4 11- 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-41324,-3193464] |
[a1,a2,a3,a4,a6] |
j |
154241737/2376 |
j-invariant |
L |
12.065817293078 |
L(r)(E,1)/r! |
Ω |
0.33516162446386 |
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 |
11154p1 122694bn1 |
Quadratic twists by: -11 13 |