Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162cs |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-141866083810584 = -1 · 23 · 37 · 76 · 413 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 6 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5944,-546717] |
[a1,a2,a3,a4,a6] |
j |
270840023/1654104 |
j-invariant |
L |
6.9741673775824 |
L(r)(E,1)/r! |
Ω |
0.29059030739832 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054i2 738j2 |
Quadratic twists by: -3 -7 |