Atkin-Lehner |
2- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
88400bo |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
7354880000000000 = 218 · 510 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 6 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74675,6683250] |
[a1,a2,a3,a4,a6] |
j |
719564007681/114920000 |
j-invariant |
L |
1.5999245199035 |
L(r)(E,1)/r! |
Ω |
0.39998114170324 |
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 |
11050g1 17680j1 |
Quadratic twists by: -4 5 |