Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232cq |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-104221796915478528 = -1 · 224 · 32 · 11 · 137 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14816,15521780] |
[a1,a2,a3,a4,a6] |
j |
18191447/5271552 |
j-invariant |
L |
2.0785311180028 |
L(r)(E,1)/r! |
Ω |
0.2598164027222 |
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 |
11154w1 6864u1 |
Quadratic twists by: -4 13 |