Atkin-Lehner |
2- 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89792k |
Isogeny class |
Conductor |
89792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-6225915805696 = -1 · 223 · 233 · 61 |
Discriminant |
Eigenvalues |
2- -2 -3 1 0 -2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27617,-1779809] |
[a1,a2,a3,a4,a6] |
j |
-8886464607097/23749984 |
j-invariant |
L |
0.74056742601229 |
L(r)(E,1)/r! |
Ω |
0.18514185011664 |
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 |
89792d1 22448c1 |
Quadratic twists by: -4 8 |