Atkin-Lehner |
2- 5+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
45650x |
Isogeny class |
Conductor |
45650 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
35817417968750000 = 24 · 512 · 113 · 832 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11- -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2834063,1835175781] |
[a1,a2,a3,a4,a6] |
j |
161113597936462204201/2292314750000 |
j-invariant |
L |
8.0304549070608 |
L(r)(E,1)/r! |
Ω |
0.33460228780334 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9130d2 |
Quadratic twists by: 5 |