Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11040j |
Isogeny class |
Conductor |
11040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
68558400 = 26 · 34 · 52 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-690,7200] |
[a1,a2,a3,a4,a6] |
j |
568486650304/1071225 |
j-invariant |
L |
1.9540555158743 |
L(r)(E,1)/r! |
Ω |
1.9540555158743 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11040h1 22080bc2 33120g1 55200v1 |
Quadratic twists by: -4 8 -3 5 |