Atkin-Lehner |
3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
13671p |
Isogeny class |
Conductor |
13671 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
26497522759676409 = 314 · 78 · 312 |
Discriminant |
Eigenvalues |
1 3- -2 7- 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-92178,-7372625] |
[a1,a2,a3,a4,a6] |
j |
1009932705937/308950929 |
j-invariant |
L |
2.2441524675809 |
L(r)(E,1)/r! |
Ω |
0.28051905844761 |
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 |
4557e2 1953d2 |
Quadratic twists by: -3 -7 |