Atkin-Lehner |
11- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
63767b |
Isogeny class |
Conductor |
63767 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
1242638433157 = 119 · 17 · 31 |
Discriminant |
Eigenvalues |
-2 1 0 1 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-22788,-1330598] |
[a1,a2,a3,a4,a6] |
j |
738763264000/701437 |
j-invariant |
L |
0.77718814666493 |
L(r)(E,1)/r! |
Ω |
0.38859407079112 |
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 |
5797c1 |
Quadratic twists by: -11 |