Atkin-Lehner |
2- 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
56400cf |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
166330368000 = 220 · 33 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1688,18672] |
[a1,a2,a3,a4,a6] |
j |
1039509197/324864 |
j-invariant |
L |
1.8872539570469 |
L(r)(E,1)/r! |
Ω |
0.94362697929421 |
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 |
7050m1 56400db1 |
Quadratic twists by: -4 5 |