Atkin-Lehner |
2- 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
11280q |
Isogeny class |
Conductor |
11280 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-21051187200000 = -1 · 216 · 37 · 55 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 6 1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1960,-222608] |
[a1,a2,a3,a4,a6] |
j |
-203401212841/5139450000 |
j-invariant |
L |
2.9519370259044 |
L(r)(E,1)/r! |
Ω |
0.29519370259044 |
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 |
1410f1 45120cq1 33840bu1 56400cu1 |
Quadratic twists by: -4 8 -3 5 |