Atkin-Lehner |
2- 3- 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810ee |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
450560 |
Modular degree for the optimal curve |
Δ |
24691159841040 = 24 · 311 · 5 · 7 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28562,1849601] |
[a1,a2,a3,a4,a6] |
j |
3534661041507289/33869903760 |
j-invariant |
L |
2.7015163766342 |
L(r)(E,1)/r! |
Ω |
0.67537940518674 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39270x1 |
Quadratic twists by: -3 |