Atkin-Lehner |
3- 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89661m |
Isogeny class |
Conductor |
89661 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
284222396213613 = 310 · 117 · 13 · 19 |
Discriminant |
Eigenvalues |
2 3- 0 5 11- 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-23998,1170835] |
[a1,a2,a3,a4,a6] |
j |
862801408000/160436133 |
j-invariant |
L |
10.427007257563 |
L(r)(E,1)/r! |
Ω |
0.52135036185389 |
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 |
8151d1 |
Quadratic twists by: -11 |