Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100bu |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
11256803381250000 = 24 · 37 · 58 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58800,2015125] |
[a1,a2,a3,a4,a6] |
j |
1048576/525 |
j-invariant |
L |
2.8585976455438 |
L(r)(E,1)/r! |
Ω |
0.35732470568772 |
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 |
14700be1 8820ba1 6300n1 |
Quadratic twists by: -3 5 -7 |