Atkin-Lehner |
2- 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89792l |
Isogeny class |
Conductor |
89792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-46359968768 = -1 · 210 · 233 · 612 |
Discriminant |
Eigenvalues |
2- -3 0 0 -4 5 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2740,-56168] |
[a1,a2,a3,a4,a6] |
j |
-2221648992000/45273407 |
j-invariant |
L |
0.65907923460576 |
L(r)(E,1)/r! |
Ω |
0.32953961310869 |
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 |
89792e1 22448d1 |
Quadratic twists by: -4 8 |