Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680fm |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
5946676956090000 = 24 · 36 · 54 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -5 13+ 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46137,885391] |
[a1,a2,a3,a4,a6] |
j |
1141504/625 |
j-invariant |
L |
1.4814670779938 |
L(r)(E,1)/r! |
Ω |
0.37036669790244 |
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 |
30420x1 13520p1 121680ed1 |
Quadratic twists by: -4 -3 13 |