Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800hc |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-7785676800 = -1 · 220 · 33 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- 0 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-4257] |
[a1,a2,a3,a4,a6] |
j |
-625/1188 |
j-invariant |
L |
3.5741035590239 |
L(r)(E,1)/r! |
Ω |
0.59568392654562 |
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 |
52800p1 13200bk1 52800fu1 |
Quadratic twists by: -4 8 5 |