Atkin-Lehner |
2+ 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600x |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
165168781250000 = 24 · 59 · 114 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 11+ 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20083,897588] |
[a1,a2,a3,a4,a6] |
j |
28666923008/5285401 |
j-invariant |
L |
1.0913384951151 |
L(r)(E,1)/r! |
Ω |
0.5456692720645 |
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 |
41800ba1 83600w1 |
Quadratic twists by: -4 5 |