Atkin-Lehner |
2+ 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89590d |
Isogeny class |
Conductor |
89590 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3449600 |
Modular degree for the optimal curve |
Δ |
-1.8003842414464E+20 |
Discriminant |
Eigenvalues |
2+ 2 5+ 1 -3 1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-501548,-660092848] |
[a1,a2,a3,a4,a6] |
j |
-2839983453749283353/36645313280000000 |
j-invariant |
L |
1.5384080831603 |
L(r)(E,1)/r! |
Ω |
0.07692039474298 |
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 |
89590f1 |
Quadratic twists by: 17 |