Atkin-Lehner |
3- 5+ 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122265g |
Isogeny class |
Conductor |
122265 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.685269245049E+22 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11+ 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-84357608,298174117106] |
[a1,a2,a3,a4,a6] |
j |
91068660522415189386398521/23117547943058765625 |
j-invariant |
L |
0.48162609646204 |
L(r)(E,1)/r! |
Ω |
0.12040609036872 |
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 |
40755w2 |
Quadratic twists by: -3 |