Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800hh |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-13516800 = -1 · 214 · 3 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 11- 4 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,47,143] |
[a1,a2,a3,a4,a6] |
j |
27440/33 |
j-invariant |
L |
5.980255553603 |
L(r)(E,1)/r! |
Ω |
1.4950638878996 |
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 |
52800w1 13200bo1 52800fv1 |
Quadratic twists by: -4 8 5 |