Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298cd |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
4257792 |
Modular degree for the optimal curve |
Δ |
-1.0883480265811E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9579956,-11520279273] |
[a1,a2,a3,a4,a6] |
j |
-622221771892633/6964641792 |
j-invariant |
L |
1.8008947787114 |
L(r)(E,1)/r! |
Ω |
0.042878448295981 |
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 |
29766k1 89298bd1 |
Quadratic twists by: -3 -11 |