Atkin-Lehner |
2+ 11+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
64328b |
Isogeny class |
Conductor |
64328 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
109824 |
Modular degree for the optimal curve |
Δ |
4044044048 = 24 · 11 · 172 · 433 |
Discriminant |
Eigenvalues |
2+ 2 4 1 11+ 0 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11976,-500467] |
[a1,a2,a3,a4,a6] |
j |
11873406993942784/252752753 |
j-invariant |
L |
5.4764658697424 |
L(r)(E,1)/r! |
Ω |
0.45637215711871 |
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 |
128656f1 |
Quadratic twists by: -4 |