Atkin-Lehner |
5+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34645a |
Isogeny class |
Conductor |
34645 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4128 |
Modular degree for the optimal curve |
Δ |
34645 = 5 · 132 · 41 |
Discriminant |
Eigenvalues |
0 1 5+ -4 -4 13+ -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-121,-555] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:-3:8] |
Generators of the group modulo torsion |
j |
1168900096/205 |
j-invariant |
L |
2.6376232389991 |
L(r)(E,1)/r! |
Ω |
1.4384974385687 |
Real period |
R |
1.8335960623076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34645n1 |
Quadratic twists by: 13 |