Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400o |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-27002738643750000 = -1 · 24 · 311 · 58 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -3 -3 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-908175,333215125] |
[a1,a2,a3,a4,a6] |
j |
-454532354823424/148163175 |
j-invariant |
L |
2.941126313107 |
L(r)(E,1)/r! |
Ω |
0.36764079562703 |
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 |
52200h1 34800bf1 20880s1 |
Quadratic twists by: -4 -3 5 |