Atkin-Lehner |
2+ 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
93456g |
Isogeny class |
Conductor |
93456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
78485096448 = 211 · 310 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20186499,-34909177822] |
[a1,a2,a3,a4,a6] |
j |
609325348104099171074/52569 |
j-invariant |
L |
5.1282219256128 |
L(r)(E,1)/r! |
Ω |
0.071225302685232 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46728j4 31152e4 |
Quadratic twists by: -4 -3 |