Atkin-Lehner |
3- 13- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
27807k |
Isogeny class |
Conductor |
27807 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
536926169403 = 32 · 13 · 236 · 31 |
Discriminant |
Eigenvalues |
1 3- 0 0 -2 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19091,-1016233] |
[a1,a2,a3,a4,a6] |
j |
769444046081763625/536926169403 |
j-invariant |
L |
1.6247004212847 |
L(r)(E,1)/r! |
Ω |
0.40617510532095 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83421u2 |
Quadratic twists by: -3 |