Atkin-Lehner |
2- 3+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11352k |
Isogeny class |
Conductor |
11352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
56631901489152 = 211 · 3 · 118 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10384,-183092] |
[a1,a2,a3,a4,a6] |
Generators |
[393:7502:1] |
Generators of the group modulo torsion |
j |
60468559237154/27652295649 |
j-invariant |
L |
2.4704895363145 |
L(r)(E,1)/r! |
Ω |
0.49392071159707 |
Real period |
R |
2.5008968831518 |
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 |
22704l4 90816bf4 34056d4 124872i4 |
Quadratic twists by: -4 8 -3 -11 |