Atkin-Lehner |
2+ 3+ 5+ 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
126270a |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-14717310139963260 = -1 · 22 · 33 · 5 · 232 · 616 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 6 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-325965,71950545] |
[a1,a2,a3,a4,a6] |
j |
-141864460228427543307/545085560739380 |
j-invariant |
L |
2.1148147425426 |
L(r)(E,1)/r! |
Ω |
0.39652745064834 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
126270bc4 |
Quadratic twists by: -3 |