Atkin-Lehner |
2- 3- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
64752m |
Isogeny class |
Conductor |
64752 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-15117778944 = -1 · 216 · 32 · 192 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 2 2 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-192,5940] |
[a1,a2,a3,a4,a6] |
j |
-192100033/3690864 |
j-invariant |
L |
4.1928914102153 |
L(r)(E,1)/r! |
Ω |
1.0482228525015 |
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 |
8094d1 |
Quadratic twists by: -4 |