Atkin-Lehner |
3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
117117y |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
404352 |
Modular degree for the optimal curve |
Δ |
595262363304609 = 36 · 7 · 11 · 139 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 11+ 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25128,-979965] |
[a1,a2,a3,a4,a6] |
Generators |
[2574378:151524179:729] |
Generators of the group modulo torsion |
j |
226981/77 |
j-invariant |
L |
4.9042916705165 |
L(r)(E,1)/r! |
Ω |
0.38960783153079 |
Real period |
R |
12.587764618542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999870854 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13013g1 117117cb1 |
Quadratic twists by: -3 13 |