Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13552q |
Isogeny class |
Conductor |
13552 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-6456091645636864 = -1 · 28 · 76 · 118 |
Discriminant |
Eigenvalues |
2- 2 3 7+ 11- -1 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,43036,-1785364] |
[a1,a2,a3,a4,a6] |
Generators |
[782145:26063884:729] |
Generators of the group modulo torsion |
j |
160630448/117649 |
j-invariant |
L |
7.6135885683766 |
L(r)(E,1)/r! |
Ω |
0.2371841116009 |
Real period |
R |
5.3499849526092 |
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 |
3388g2 54208ci2 121968ew2 94864dd2 |
Quadratic twists by: -4 8 -3 -7 |