Atkin-Lehner |
3+ 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13065a |
Isogeny class |
Conductor |
13065 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39744 |
Modular degree for the optimal curve |
Δ |
49806014441625 = 32 · 53 · 133 · 674 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-52988,4660467] |
[a1,a2,a3,a4,a6] |
Generators |
[-578:23083:8] |
Generators of the group modulo torsion |
j |
16453909390707547849/49806014441625 |
j-invariant |
L |
4.0683234546735 |
L(r)(E,1)/r! |
Ω |
0.63643085814876 |
Real period |
R |
6.3924044577402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39195p1 65325t1 |
Quadratic twists by: -3 5 |