Atkin-Lehner |
2- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
64480g |
Isogeny class |
Conductor |
64480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-3064444497920 = -1 · 212 · 5 · 136 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 0 13- 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24141,1454245] |
[a1,a2,a3,a4,a6] |
Generators |
[91:52:1] |
Generators of the group modulo torsion |
j |
-379880955841024/748155395 |
j-invariant |
L |
5.0776012045898 |
L(r)(E,1)/r! |
Ω |
0.80084366138427 |
Real period |
R |
0.52835959644189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993804 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64480i1 128960bf1 |
Quadratic twists by: -4 8 |