Atkin-Lehner |
2- 3- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648bg |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2.8522722324907E+25 |
Discriminant |
Eigenvalues |
2- 3- 4 0 0 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,75052797,58247186690] |
[a1,a2,a3,a4,a6] |
Generators |
[-2594366482045:2025966636840960:10232446211] |
Generators of the group modulo torsion |
j |
15658021359810921772799/9552201996027691008 |
j-invariant |
L |
10.658587842966 |
L(r)(E,1)/r! |
Ω |
0.040894031890533 |
Real period |
R |
16.289950145453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916239 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14706l2 39216o2 |
Quadratic twists by: -4 -3 |