Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800hm |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-5068800000000 = -1 · 217 · 32 · 58 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 1 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8833,334463] |
[a1,a2,a3,a4,a6] |
j |
-1488770/99 |
j-invariant |
L |
3.0187294517883 |
L(r)(E,1)/r! |
Ω |
0.75468236304748 |
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 |
52800bw1 13200o1 52800ej1 |
Quadratic twists by: -4 8 5 |