Atkin-Lehner |
5+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
112385i |
Isogeny class |
Conductor |
112385 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-137621374856875 = -1 · 54 · 74 · 136 · 19 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 4 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,12812,-86758] |
[a1,a2,a3,a4,a6] |
j |
48188806119/28511875 |
j-invariant |
L |
1.364697163365 |
L(r)(E,1)/r! |
Ω |
0.34117433608023 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
665b4 |
Quadratic twists by: 13 |