Atkin-Lehner |
3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
117117bk |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1317888 |
Modular degree for the optimal curve |
Δ |
-4537684995471034407 = -1 · 38 · 72 · 113 · 139 |
Discriminant |
Eigenvalues |
1 3- 0 7- 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,409878,17290287] |
[a1,a2,a3,a4,a6] |
j |
985074875/586971 |
j-invariant |
L |
2.3927941827827 |
L(r)(E,1)/r! |
Ω |
0.14954970496959 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39039z1 117117bf1 |
Quadratic twists by: -3 13 |