Atkin-Lehner |
2- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
11408c |
Isogeny class |
Conductor |
11408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-11495630962688 = -1 · 224 · 23 · 313 |
Discriminant |
Eigenvalues |
2- -1 0 1 0 2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8488,345200] |
[a1,a2,a3,a4,a6] |
j |
-16513192419625/2806550528 |
j-invariant |
L |
1.3795665252173 |
L(r)(E,1)/r! |
Ω |
0.68978326260865 |
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 |
1426c2 45632n2 102672bt2 |
Quadratic twists by: -4 8 -3 |