Atkin-Lehner |
3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
13431g |
Isogeny class |
Conductor |
13431 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2641115772801 = 32 · 118 · 372 |
Discriminant |
Eigenvalues |
-1 3- 2 4 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4782,100035] |
[a1,a2,a3,a4,a6] |
j |
6826561273/1490841 |
j-invariant |
L |
3.0576477187549 |
L(r)(E,1)/r! |
Ω |
0.76441192968872 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40293k2 1221a2 |
Quadratic twists by: -3 -11 |