Atkin-Lehner |
2- 5+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
45650r |
Isogeny class |
Conductor |
45650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-110473000000 = -1 · 26 · 56 · 113 · 83 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 11+ -5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-136263,-19417219] |
[a1,a2,a3,a4,a6] |
j |
-17907613978515625/7070272 |
j-invariant |
L |
5.963706790254 |
L(r)(E,1)/r! |
Ω |
0.12424389146992 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1826a2 |
Quadratic twists by: 5 |