Atkin-Lehner |
2- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32800l |
Isogeny class |
Conductor |
32800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
8830503125000000 = 26 · 511 · 414 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-90158,-9417812] |
[a1,a2,a3,a4,a6] |
j |
81047819728576/8830503125 |
j-invariant |
L |
0.55492740472672 |
L(r)(E,1)/r! |
Ω |
0.27746370236307 |
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 |
32800b1 65600f2 6560b1 |
Quadratic twists by: -4 8 5 |