Atkin-Lehner |
2+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
13888j |
Isogeny class |
Conductor |
13888 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-348422144 = -1 · 215 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- 0 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,1249] |
[a1,a2,a3,a4,a6] |
Generators |
[17:56:1] |
Generators of the group modulo torsion |
j |
-14172488/10633 |
j-invariant |
L |
3.3386408700688 |
L(r)(E,1)/r! |
Ω |
1.56756379141 |
Real period |
R |
0.17748564621762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13888b1 6944c1 124992dd1 97216g1 |
Quadratic twists by: -4 8 -3 -7 |