Atkin-Lehner |
2+ 3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129744b |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
68951281104 = 24 · 314 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2946,60235] |
[a1,a2,a3,a4,a6] |
j |
242423339008/5911461 |
j-invariant |
L |
1.0951936399277 |
L(r)(E,1)/r! |
Ω |
1.0951926297737 |
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 |
64872h1 43248h1 |
Quadratic twists by: -4 -3 |