Atkin-Lehner |
2- 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11856z |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
14474221499891712 = 214 · 3 · 138 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-379184,89811648] |
[a1,a2,a3,a4,a6] |
j |
1472024100054611377/3533745483372 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
1482j5 47424cy6 35568ch6 |
Quadratic twists by: -4 8 -3 |