Atkin-Lehner |
2- 5+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
109040j |
Isogeny class |
Conductor |
109040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10321920 |
Modular degree for the optimal curve |
Δ |
828941271040000000 = 228 · 57 · 292 · 47 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 -1 5 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-168401016,-841190108716] |
[a1,a2,a3,a4,a6] |
j |
128943035183824533700326649/202378240000000 |
j-invariant |
L |
2.6822129972135 |
L(r)(E,1)/r! |
Ω |
0.041909586670308 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13630a1 |
Quadratic twists by: -4 |