Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
11682h |
Isogeny class |
Conductor |
11682 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1.3677064970595E+22 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8405253,7506298165] |
[a1,a2,a3,a4,a6] |
Generators |
[2493:43936:1] |
Generators of the group modulo torsion |
j |
90084191238619649880913/18761405995329720096 |
j-invariant |
L |
2.2692444071498 |
L(r)(E,1)/r! |
Ω |
0.11878747200893 |
Real period |
R |
6.3677994791101 |
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 |
93456bj4 3894k3 128502bu4 |
Quadratic twists by: -4 -3 -11 |