Atkin-Lehner |
2+ 3- 5+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
118170c |
Isogeny class |
Conductor |
118170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24527360 |
Modular degree for the optimal curve |
Δ |
-2.6002903505598E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 5 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-165744135,-821631627459] |
[a1,a2,a3,a4,a6] |
j |
-690733777107950127714069361/356692777854566400000 |
j-invariant |
L |
2.6928148202339 |
L(r)(E,1)/r! |
Ω |
0.021037617993922 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39390q1 |
Quadratic twists by: -3 |