Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200bf |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.2698549248E+22 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,806367,-5414259137] |
[a1,a2,a3,a4,a6] |
j |
14156681599871/3100231750000 |
j-invariant |
L |
0.71397652750088 |
L(r)(E,1)/r! |
Ω |
0.05949809913412 |
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 |
123200fs3 3850d3 24640x3 |
Quadratic twists by: -4 8 5 |