Atkin-Lehner |
3- 5+ 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122265g |
Isogeny class |
Conductor |
122265 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7667712 |
Modular degree for the optimal curve |
Δ |
-8.2648043711636E+21 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11+ 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4637363,5824034642] |
[a1,a2,a3,a4,a6] |
j |
-15128970422266558477801/11337180207357522375 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
40755w1 |
Quadratic twists by: -3 |