Atkin-Lehner |
2- 3+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
58176bm |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-5718933504 = -1 · 221 · 33 · 101 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 -4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108,3664] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:36:1] [-6:64:1] |
Generators of the group modulo torsion |
j |
-19683/808 |
j-invariant |
L |
9.8225210579478 |
L(r)(E,1)/r! |
Ω |
1.1225511492822 |
Real period |
R |
1.0937721038628 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58176a1 14544m1 58176bp1 |
Quadratic twists by: -4 8 -3 |