Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11440l |
Isogeny class |
Conductor |
11440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-30457856000 = -1 · 217 · 53 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 11- 13- -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14976,-710476] |
[a1,a2,a3,a4,a6] |
j |
-90694355177089/7436000 |
j-invariant |
L |
1.7262593155952 |
L(r)(E,1)/r! |
Ω |
0.21578241444939 |
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 |
1430e1 45760bo1 102960eb1 57200bo1 |
Quadratic twists by: -4 8 -3 5 |