Atkin-Lehner |
2+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13888i |
Isogeny class |
Conductor |
13888 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
19355546943488 = 223 · 74 · 312 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 2 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8897,246977] |
[a1,a2,a3,a4,a6] |
j |
297141543217/73835552 |
j-invariant |
L |
5.1467865849071 |
L(r)(E,1)/r! |
Ω |
0.64334832311338 |
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 |
13888q2 434d2 124992cu2 97216bc2 |
Quadratic twists by: -4 8 -3 -7 |