Atkin-Lehner |
2+ 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24552d |
Isogeny class |
Conductor |
24552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
149265086829585408 = 210 · 315 · 11 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-626475,189947734] |
[a1,a2,a3,a4,a6] |
j |
36425662686062500/199954302273 |
j-invariant |
L |
0.6542761719778 |
L(r)(E,1)/r! |
Ω |
0.32713808598892 |
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 |
49104v1 8184m1 |
Quadratic twists by: -4 -3 |