Atkin-Lehner |
3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
64251ba |
Isogeny class |
Conductor |
64251 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
388608 |
Modular degree for the optimal curve |
Δ |
-44061375600872289 = -1 · 310 · 118 · 592 |
Discriminant |
Eigenvalues |
-1 3- 3 2 11- -1 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,63139,-8059642] |
[a1,a2,a3,a4,a6] |
j |
178137047/281961 |
j-invariant |
L |
2.2813573053676 |
L(r)(E,1)/r! |
Ω |
0.19011310882146 |
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 |
21417k1 64251y1 |
Quadratic twists by: -3 -11 |