Atkin-Lehner |
2+ 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080bd |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
4573963883520 = 210 · 312 · 5 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43248,3460232] |
[a1,a2,a3,a4,a6] |
j |
11983793373184/6127245 |
j-invariant |
L |
1.5265747793346 |
L(r)(E,1)/r! |
Ω |
0.76328756749323 |
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 |
118080eq1 7380h1 39360v1 |
Quadratic twists by: -4 8 -3 |