Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41184bf |
Isogeny class |
Conductor |
41184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
426995712 = 212 · 36 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6876,219456] |
[a1,a2,a3,a4,a6] |
j |
12040481088/143 |
j-invariant |
L |
3.0454231251076 |
L(r)(E,1)/r! |
Ω |
1.5227115625296 |
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 |
41184z4 82368ef1 4576a2 |
Quadratic twists by: -4 8 -3 |