Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13200bu |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-151797888000000 = -1 · 213 · 34 · 56 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4808,608112] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:792:1] |
Generators of the group modulo torsion |
j |
-192100033/2371842 |
j-invariant |
L |
3.5050841858447 |
L(r)(E,1)/r! |
Ω |
0.49060666604436 |
Real period |
R |
0.44652422557072 |
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 |
1650f4 52800gp3 39600do3 528j4 |
Quadratic twists by: -4 8 -3 5 |