Atkin-Lehner |
2+ 3- 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
27234b |
Isogeny class |
Conductor |
27234 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
130347106136502048 = 25 · 38 · 178 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1245996,535361584] |
[a1,a2,a3,a4,a6] |
j |
293458250585517679297/178802614727712 |
j-invariant |
L |
0.6509408053549 |
L(r)(E,1)/r! |
Ω |
0.32547040267744 |
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 |
9078f3 |
Quadratic twists by: -3 |