Atkin-Lehner |
2- 3+ 11+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682bc |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
1188 |
Product of Tamagawa factors cp |
deg |
78008832 |
Modular degree for the optimal curve |
Δ |
-1.5483993774857E+27 |
Discriminant |
Eigenvalues |
2- 3+ -3 -4 11+ 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,34342111,-1891636841743] |
[a1,a2,a3,a4,a6] |
j |
165897913007405907825038541/57348125092064452734353408 |
j-invariant |
L |
2.9486615993058 |
L(r)(E,1)/r! |
Ω |
0.022338351523893 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
110682k2 |
Quadratic twists by: -3 |