Atkin-Lehner |
2- 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11856z |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2195382778527744 = 216 · 32 · 134 · 194 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32624,260544] |
[a1,a2,a3,a4,a6] |
j |
937537615877617/535982123664 |
j-invariant |
L |
0.79244100980221 |
L(r)(E,1)/r! |
Ω |
0.39622050490111 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
1482j3 47424cy3 35568ch3 |
Quadratic twists by: -4 8 -3 |