Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080cm |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-1305169153600 = -1 · 26 · 52 · 138 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 6 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3436,-96186] |
[a1,a2,a3,a4,a6] |
j |
-14526784/4225 |
j-invariant |
L |
0.61432723993293 |
L(r)(E,1)/r! |
Ω |
0.30716361960203 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54080ch1 27040k2 4160t1 |
Quadratic twists by: -4 8 13 |