Atkin-Lehner |
2- 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
97328t |
Isogeny class |
Conductor |
97328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-1594621952 = -1 · 218 · 7 · 11 · 79 |
Discriminant |
Eigenvalues |
2- -1 2 7+ 11- -3 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1792,-28672] |
[a1,a2,a3,a4,a6] |
j |
-155460517633/389312 |
j-invariant |
L |
1.4672690067757 |
L(r)(E,1)/r! |
Ω |
0.36681721721262 |
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 |
12166m1 |
Quadratic twists by: -4 |