Atkin-Lehner |
2- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
28054f |
Isogeny class |
Conductor |
28054 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9888 |
Modular degree for the optimal curve |
Δ |
-4656964 = -1 · 22 · 132 · 832 |
Discriminant |
Eigenvalues |
2- 2 3 2 2 13+ -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-179,853] |
[a1,a2,a3,a4,a6] |
j |
-3754462153/27556 |
j-invariant |
L |
9.8234182502074 |
L(r)(E,1)/r! |
Ω |
2.455854562552 |
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 |
28054c1 |
Quadratic twists by: 13 |