Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52200f |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
29729531250000 = 24 · 38 · 510 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21450,-1180375] |
[a1,a2,a3,a4,a6] |
j |
5988775936/163125 |
j-invariant |
L |
1.5806112099441 |
L(r)(E,1)/r! |
Ω |
0.39515280239782 |
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 |
104400k1 17400ba1 10440p1 |
Quadratic twists by: -4 -3 5 |