Atkin-Lehner |
3+ 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
38775f |
Isogeny class |
Conductor |
38775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
774142875 = 32 · 53 · 114 · 47 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 11+ 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1215,15750] |
[a1,a2,a3,a4,a6] |
j |
1588915931309/6193143 |
j-invariant |
L |
3.2055859626859 |
L(r)(E,1)/r! |
Ω |
1.6027929813539 |
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 |
116325bk2 38775p2 |
Quadratic twists by: -3 5 |