Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
108900bp |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
-271284022968750000 = -1 · 24 · 315 · 510 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -3 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,82500,23340625] |
[a1,a2,a3,a4,a6] |
j |
4505600/19683 |
j-invariant |
L |
1.32918777073 |
L(r)(E,1)/r! |
Ω |
0.22153135327314 |
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 |
36300bi1 108900da1 108900bo1 |
Quadratic twists by: -3 5 -11 |