Atkin-Lehner |
2- 3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
89700a |
Isogeny class |
Conductor |
89700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
89280 |
Modular degree for the optimal curve |
Δ |
100406950800 = 24 · 3 · 52 · 13 · 235 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 2 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1178,-2763] |
[a1,a2,a3,a4,a6] |
j |
452343351040/251017377 |
j-invariant |
L |
0.87338366791958 |
L(r)(E,1)/r! |
Ω |
0.87338364831671 |
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 |
89700bd1 |
Quadratic twists by: 5 |