Atkin-Lehner |
2+ 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
64480a |
Isogeny class |
Conductor |
64480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62976 |
Modular degree for the optimal curve |
Δ |
-2682368000 = -1 · 212 · 53 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ -3 5+ 4 0 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88,2512] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:52:1] |
Generators of the group modulo torsion |
j |
-18399744/654875 |
j-invariant |
L |
3.9624023385843 |
L(r)(E,1)/r! |
Ω |
1.1982136625711 |
Real period |
R |
0.82673117123306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64480b1 128960bm1 |
Quadratic twists by: -4 8 |