Atkin-Lehner |
2- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
44764d |
Isogeny class |
Conductor |
44764 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
94271274779948176 = 24 · 1910 · 312 |
Discriminant |
Eigenvalues |
2- -1 -1 0 -4 3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-825366,-287961143] |
[a1,a2,a3,a4,a6] |
j |
633881344/961 |
j-invariant |
L |
0.95044865491764 |
L(r)(E,1)/r! |
Ω |
0.15840810915817 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44764a1 |
Quadratic twists by: -19 |