Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15624g |
Isogeny class |
Conductor |
15624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-89384081176664064 = -1 · 211 · 39 · 74 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-130899,23220430] |
[a1,a2,a3,a4,a6] |
j |
-166140387034274/59869095867 |
j-invariant |
L |
1.2791984385736 |
L(r)(E,1)/r! |
Ω |
0.3197996096434 |
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 |
31248w3 124992bk3 5208l4 109368x3 |
Quadratic twists by: -4 8 -3 -7 |