Atkin-Lehner |
11- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
67639b |
Isogeny class |
Conductor |
67639 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-141613271657 = -1 · 117 · 132 · 43 |
Discriminant |
Eigenvalues |
1 3 2 -4 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,764,15989] |
[a1,a2,a3,a4,a6] |
Generators |
[-204:2767:27] |
Generators of the group modulo torsion |
j |
27818127/79937 |
j-invariant |
L |
13.359916324494 |
L(r)(E,1)/r! |
Ω |
0.72686276128036 |
Real period |
R |
4.5950614875713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6149b1 |
Quadratic twists by: -11 |