Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400bl |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9788768652000000 = -1 · 28 · 3 · 56 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 2 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,49292,-2200912] |
[a1,a2,a3,a4,a6] |
j |
686000/507 |
j-invariant |
L |
3.6613817555668 |
L(r)(E,1)/r! |
Ω |
0.22883635154617 |
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 |
4056k2 7800w2 |
Quadratic twists by: 5 13 |