Atkin-Lehner |
3- 7- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
89817p |
Isogeny class |
Conductor |
89817 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
163296 |
Modular degree for the optimal curve |
Δ |
25231122189 = 33 · 76 · 132 · 47 |
Discriminant |
Eigenvalues |
2 3- -3 7- 5 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1682,24875] |
[a1,a2,a3,a4,a6] |
j |
4475809792/214461 |
j-invariant |
L |
7.0749492146815 |
L(r)(E,1)/r! |
Ω |
1.1791581865165 |
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 |
1833b1 |
Quadratic twists by: -7 |