Atkin-Lehner |
2- 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36432bz |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
7193432530944 = 213 · 38 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 11- 1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9507,-332638] |
[a1,a2,a3,a4,a6] |
j |
31824875809/2409066 |
j-invariant |
L |
1.9432252308475 |
L(r)(E,1)/r! |
Ω |
0.4858063077115 |
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 |
4554g1 12144s1 |
Quadratic twists by: -4 -3 |