Atkin-Lehner |
3- 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
13113h |
Isogeny class |
Conductor |
13113 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1547556921 = 36 · 312 · 472 |
Discriminant |
Eigenvalues |
1 3- 2 0 -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-321,1232] |
[a1,a2,a3,a4,a6] |
j |
5026574097/2122849 |
j-invariant |
L |
1.3607367135466 |
L(r)(E,1)/r! |
Ω |
1.3607367135466 |
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 |
1457a1 |
Quadratic twists by: -3 |