Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13520d |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
67600 = 24 · 52 · 132 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 5 13+ 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,-181] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:5:8] |
Generators of the group modulo torsion |
j |
7311616/25 |
j-invariant |
L |
4.8448716177448 |
L(r)(E,1)/r! |
Ω |
1.7430003828022 |
Real period |
R |
1.3898079614749 |
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 |
6760a1 54080db1 121680bt1 67600i1 |
Quadratic twists by: -4 8 -3 5 |