Atkin-Lehner |
2- 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870cf |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-1498529775600 = -1 · 24 · 39 · 52 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,193,58839] |
[a1,a2,a3,a4,a6] |
j |
1095912791/2055596400 |
j-invariant |
L |
5.3245056229214 |
L(r)(E,1)/r! |
Ω |
0.66556320286517 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102960eh1 4290a1 64350bo1 |
Quadratic twists by: -4 -3 5 |