Atkin-Lehner |
7+ 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
11137b |
Isogeny class |
Conductor |
11137 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2884483 = 72 · 372 · 43 |
Discriminant |
Eigenvalues |
1 0 0 7+ 0 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-313957,-67631658] |
[a1,a2,a3,a4,a6] |
j |
3422433370828260083625/2884483 |
j-invariant |
L |
0.20168887670321 |
L(r)(E,1)/r! |
Ω |
0.20168887670321 |
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 |
100233h2 77959b2 |
Quadratic twists by: -3 -7 |