Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63536bl |
Isogeny class |
Conductor |
63536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
266489298944 = 226 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 0 -3 -3 11- -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5339,-148086] |
[a1,a2,a3,a4,a6] |
j |
11382465033/180224 |
j-invariant |
L |
1.1181018124234 |
L(r)(E,1)/r! |
Ω |
0.55905090719938 |
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 |
7942o1 63536bc1 |
Quadratic twists by: -4 -19 |