Atkin-Lehner |
2- 3- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44286bl |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-315118184436 = -1 · 22 · 36 · 116 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 1 11- 1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-547,-27499] |
[a1,a2,a3,a4,a6] |
j |
-10218313/177876 |
j-invariant |
L |
4.9888147666529 |
L(r)(E,1)/r! |
Ω |
0.41573456389552 |
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 |
366f1 |
Quadratic twists by: -11 |