Atkin-Lehner |
2- 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
11280v |
Isogeny class |
Conductor |
11280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-2772172800 = -1 · 218 · 32 · 52 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,264,-1836] |
[a1,a2,a3,a4,a6] |
j |
494913671/676800 |
j-invariant |
L |
3.0539801086386 |
L(r)(E,1)/r! |
Ω |
0.76349502715966 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1410b1 45120ci1 33840cm1 56400bo1 |
Quadratic twists by: -4 8 -3 5 |