Atkin-Lehner |
2- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
28336bn |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
2029971091456 = 212 · 7 · 11 · 235 |
Discriminant |
Eigenvalues |
2- 3 3 7- 11+ -1 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4051,71762] |
[a1,a2,a3,a4,a6] |
j |
1794942305577/495598411 |
j-invariant |
L |
7.7186514756442 |
L(r)(E,1)/r! |
Ω |
0.77186514756455 |
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 |
1771a1 113344ep1 |
Quadratic twists by: -4 8 |