Atkin-Lehner |
2- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
84568i |
Isogeny class |
Conductor |
84568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8755200 |
Modular degree for the optimal curve |
Δ |
-1.1417701665288E+22 |
Discriminant |
Eigenvalues |
2- 2 -3 -5 11+ -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5312088,-2056706431] |
[a1,a2,a3,a4,a6] |
Generators |
[863328:154770011:27] |
Generators of the group modulo torsion |
j |
1167425747785472/804060162631 |
j-invariant |
L |
3.2642731910272 |
L(r)(E,1)/r! |
Ω |
0.072135556037964 |
Real period |
R |
2.8282456798858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2728e1 |
Quadratic twists by: -31 |