Atkin-Lehner |
2- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
117670o |
Isogeny class |
Conductor |
117670 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1983744 |
Modular degree for the optimal curve |
Δ |
-715449300529241600 = -1 · 29 · 52 · 7 · 418 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 6 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,216814,12109316] |
[a1,a2,a3,a4,a6] |
j |
141160991/89600 |
j-invariant |
L |
4.2615849734339 |
L(r)(E,1)/r! |
Ω |
0.17756609134575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
117670k1 |
Quadratic twists by: 41 |