Atkin-Lehner |
3+ 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
118581b |
Isogeny class |
Conductor |
118581 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8707644173521803 = 3 · 296 · 474 |
Discriminant |
Eigenvalues |
1 3+ 2 0 -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-52159,909142] |
[a1,a2,a3,a4,a6] |
j |
26383748833/14639043 |
j-invariant |
L |
0.71491120999058 |
L(r)(E,1)/r! |
Ω |
0.35745534392763 |
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 |
141c3 |
Quadratic twists by: 29 |