Atkin-Lehner |
2- 3- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13530x |
Isogeny class |
Conductor |
13530 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-329378165701241250 = -1 · 2 · 3 · 54 · 11 · 418 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,161130,-11931738] |
[a1,a2,a3,a4,a6] |
j |
462650211409387093919/329378165701241250 |
j-invariant |
L |
5.4898104847398 |
L(r)(E,1)/r! |
Ω |
0.17155657764812 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108240ba5 40590e5 67650k5 |
Quadratic twists by: -4 -3 5 |