Atkin-Lehner |
2- 3- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13530x |
Isogeny class |
Conductor |
13530 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-5766275334788100 = -1 · 22 · 38 · 52 · 118 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2840,3653700] |
[a1,a2,a3,a4,a6] |
j |
-2533309721804161/5766275334788100 |
j-invariant |
L |
5.4898104847398 |
L(r)(E,1)/r! |
Ω |
0.34311315529624 |
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 |
108240ba3 40590e3 67650k3 |
Quadratic twists by: -4 -3 5 |