Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296r |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.3057963013388E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -2 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3025740,-1039792912] |
[a1,a2,a3,a4,a6] |
Generators |
[-508:19136:1] |
Generators of the group modulo torsion |
j |
64122592551794500/27331783704693 |
j-invariant |
L |
7.1660460099346 |
L(r)(E,1)/r! |
Ω |
0.11894541267592 |
Real period |
R |
5.0205425549328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999124939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296cs2 15912l2 42432j2 |
Quadratic twists by: -4 8 -3 |