Atkin-Lehner |
2- 3+ 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
89700k |
Isogeny class |
Conductor |
89700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-34057968750000 = -1 · 24 · 36 · 510 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3133,-287738] |
[a1,a2,a3,a4,a6] |
j |
-13608288256/136231875 |
j-invariant |
L |
1.6658024228467 |
L(r)(E,1)/r! |
Ω |
0.27763374424395 |
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 |
17940h1 |
Quadratic twists by: 5 |