Atkin-Lehner |
3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117117j |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
434304 |
Modular degree for the optimal curve |
Δ |
-22046754196467 = -1 · 33 · 7 · 11 · 139 |
Discriminant |
Eigenvalues |
2 3+ 2 7- 11- 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,6591,92823] |
[a1,a2,a3,a4,a6] |
j |
110592/77 |
j-invariant |
L |
6.8665502735036 |
L(r)(E,1)/r! |
Ω |
0.42915951058075 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117117h1 117117c1 |
Quadratic twists by: -3 13 |