Atkin-Lehner |
3- 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
110019p |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-3142252659 = -1 · 3 · 7 · 136 · 31 |
Discriminant |
Eigenvalues |
0 3- 3 7+ 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-14481159,-21215434756] |
[a1,a2,a3,a4,a6] |
j |
-69578264895333695488/651 |
j-invariant |
L |
3.1343945261705 |
L(r)(E,1)/r! |
Ω |
0.038696236263036 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
81 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
651e3 |
Quadratic twists by: 13 |