Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696gk |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8.0298848302633E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-837804,1394951888] |
[a1,a2,a3,a4,a6] |
Generators |
[-176:39204:1] [661:33615:1] |
Generators of the group modulo torsion |
j |
-192100033/2371842 |
j-invariant |
L |
10.596407899359 |
L(r)(E,1)/r! |
Ω |
0.13503504056107 |
Real period |
R |
9.8089427893715 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999683 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696cm3 17424bz4 23232de3 6336ci4 |
Quadratic twists by: -4 8 -3 -11 |