Atkin-Lehner |
2- 3+ 5- 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
126270bc |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
-118981773281304000 = -1 · 26 · 33 · 53 · 236 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -6 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,81613,-13980589] |
[a1,a2,a3,a4,a6] |
Generators |
[151:1254:1] |
Generators of the group modulo torsion |
j |
2226603891206002797/4406732343752000 |
j-invariant |
L |
8.1994951489893 |
L(r)(E,1)/r! |
Ω |
0.1729965739967 |
Real period |
R |
3.9497386331258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000156633 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
126270a4 |
Quadratic twists by: -3 |