Atkin-Lehner |
5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34645k |
Isogeny class |
Conductor |
34645 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
12863445985 = 5 · 137 · 41 |
Discriminant |
Eigenvalues |
-1 0 5- -2 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9327,-344314] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:29:1] [34158:1193843:27] |
Generators of the group modulo torsion |
j |
18588565449/2665 |
j-invariant |
L |
5.6205486911625 |
L(r)(E,1)/r! |
Ω |
0.48581557556983 |
Real period |
R |
23.13861050902 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2665a1 |
Quadratic twists by: 13 |