Atkin-Lehner |
5+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34645b |
Isogeny class |
Conductor |
34645 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
4947479225 = 52 · 136 · 41 |
Discriminant |
Eigenvalues |
1 0 5+ 4 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3665,86256] |
[a1,a2,a3,a4,a6] |
Generators |
[238:311:8] |
Generators of the group modulo torsion |
j |
1128111921/1025 |
j-invariant |
L |
6.0037223002838 |
L(r)(E,1)/r! |
Ω |
1.3585258394267 |
Real period |
R |
4.4192919457586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
205a1 |
Quadratic twists by: 13 |