Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8112u |
Isogeny class |
Conductor |
8112 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-5.045092947414E+20 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 -6 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1414136,864912112] |
[a1,a2,a3,a4,a6] |
j |
93603087383/150994944 |
j-invariant |
L |
1.3535578312282 |
L(r)(E,1)/r! |
Ω |
0.11279648593569 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1014b2 32448dg2 24336bz2 8112v2 |
Quadratic twists by: -4 8 -3 13 |