Atkin-Lehner |
2- 3+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
129456bb |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-99422208 = -1 · 212 · 33 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -1 -2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2811,-57366] |
[a1,a2,a3,a4,a6] |
j |
-22211737731/899 |
j-invariant |
L |
1.3113351635083 |
L(r)(E,1)/r! |
Ω |
0.32783347180798 |
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 |
8091b1 129456v1 |
Quadratic twists by: -4 -3 |