Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11858bj |
Isogeny class |
Conductor |
11858 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
17499906626048 = 29 · 710 · 112 |
Discriminant |
Eigenvalues |
2- 2 0 7- 11- 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-283368,57941225] |
[a1,a2,a3,a4,a6] |
j |
73622481625/512 |
j-invariant |
L |
5.567498677418 |
L(r)(E,1)/r! |
Ω |
0.61861096415755 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94864cx1 106722co1 11858z1 11858o1 |
Quadratic twists by: -4 -3 -7 -11 |