Atkin-Lehner |
2- 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54288bo |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
1125715968 = 212 · 36 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1179,15498] |
[a1,a2,a3,a4,a6] |
j |
60698457/377 |
j-invariant |
L |
3.109247108826 |
L(r)(E,1)/r! |
Ω |
1.5546235553514 |
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 |
3393g1 6032f1 |
Quadratic twists by: -4 -3 |