Atkin-Lehner |
2- 3+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116886bb |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
1211874048 = 28 · 35 · 7 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 11- -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-756,-8139] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:17:1] |
Generators of the group modulo torsion |
j |
394947738889/10015488 |
j-invariant |
L |
11.32895349445 |
L(r)(E,1)/r! |
Ω |
0.911880191206 |
Real period |
R |
1.5529662808948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999833867 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116886g1 |
Quadratic twists by: -11 |