Atkin-Lehner |
2- 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
129888x |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1856081075904 = -1 · 26 · 312 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 3 11+ 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2067,54664] |
[a1,a2,a3,a4,a6] |
j |
20933297216/39782259 |
j-invariant |
L |
2.2981256796948 |
L(r)(E,1)/r! |
Ω |
0.57453185494901 |
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 |
129888bn1 43296p1 |
Quadratic twists by: -4 -3 |