Atkin-Lehner |
2- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
54560h |
Isogeny class |
Conductor |
54560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-76820480 = -1 · 212 · 5 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3 5- 2 11+ -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-232,1424] |
[a1,a2,a3,a4,a6] |
j |
-337153536/18755 |
j-invariant |
L |
7.6359261616145 |
L(r)(E,1)/r! |
Ω |
1.9089815399981 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54560f1 109120j1 |
Quadratic twists by: -4 8 |