Atkin-Lehner |
2- 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
39072o |
Isogeny class |
Conductor |
39072 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
18282833619038208 = 212 · 39 · 112 · 374 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 6 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84897,-6980337] |
[a1,a2,a3,a4,a6] |
j |
16521364441741888/4463582426523 |
j-invariant |
L |
5.1362498887475 |
L(r)(E,1)/r! |
Ω |
0.28534721604426 |
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 |
39072i2 78144by1 117216i2 |
Quadratic twists by: -4 8 -3 |