Atkin-Lehner |
2- 3- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
108936n |
Isogeny class |
Conductor |
108936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
91485324288 = 210 · 310 · 17 · 89 |
Discriminant |
Eigenvalues |
2- 3- 4 0 0 -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4323,108430] |
[a1,a2,a3,a4,a6] |
j |
11968836484/122553 |
j-invariant |
L |
2.1531510531621 |
L(r)(E,1)/r! |
Ω |
1.0765756217225 |
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 |
36312d1 |
Quadratic twists by: -3 |