Atkin-Lehner |
2+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13376i |
Isogeny class |
Conductor |
13376 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-20956234416128 = -1 · 215 · 116 · 192 |
Discriminant |
Eigenvalues |
2+ 0 -2 -2 11- -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33676,-2388816] |
[a1,a2,a3,a4,a6] |
Generators |
[454:8712:1] |
Generators of the group modulo torsion |
j |
-128894765196744/639533521 |
j-invariant |
L |
3.3214843357918 |
L(r)(E,1)/r! |
Ω |
0.17616131695543 |
Real period |
R |
1.5712323573627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13376b2 6688a2 120384z2 |
Quadratic twists by: -4 8 -3 |