Atkin-Lehner |
3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117117bx |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2875392 |
Modular degree for the optimal curve |
Δ |
936347697478149957 = 36 · 7 · 113 · 1310 |
Discriminant |
Eigenvalues |
-2 3- 0 7- 11- 13+ 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1285245,558888788] |
[a1,a2,a3,a4,a6] |
j |
2336256000/9317 |
j-invariant |
L |
1.6833461346886 |
L(r)(E,1)/r! |
Ω |
0.28055766058734 |
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 |
13013l1 117117t1 |
Quadratic twists by: -3 13 |