Atkin-Lehner |
3+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
28677a |
Isogeny class |
Conductor |
28677 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
54912 |
Modular degree for the optimal curve |
Δ |
6147169630437 = 3 · 1110 · 79 |
Discriminant |
Eigenvalues |
1 3+ 0 2 11- 5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7625,-230028] |
[a1,a2,a3,a4,a6] |
j |
1890625/237 |
j-invariant |
L |
2.0604113726957 |
L(r)(E,1)/r! |
Ω |
0.5151028431737 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86031d1 28677b1 |
Quadratic twists by: -3 -11 |