Atkin-Lehner |
2+ 3- 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
108936k |
Isogeny class |
Conductor |
108936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
8142193861632 = 210 · 310 · 17 · 892 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 2 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6267,-132730] |
[a1,a2,a3,a4,a6] |
j |
36464923876/10907217 |
j-invariant |
L |
1.0979560237526 |
L(r)(E,1)/r! |
Ω |
0.5489778268628 |
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 |
36312e1 |
Quadratic twists by: -3 |