Atkin-Lehner |
3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
64251z |
Isogeny class |
Conductor |
64251 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
3346783708540833 = 37 · 1110 · 59 |
Discriminant |
Eigenvalues |
-1 3- 2 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-47939,-2916174] |
[a1,a2,a3,a4,a6] |
j |
9434056897/2591457 |
j-invariant |
L |
1.3172590028036 |
L(r)(E,1)/r! |
Ω |
0.3293147539325 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21417a1 5841f1 |
Quadratic twists by: -3 -11 |