Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11858bh |
Isogeny class |
Conductor |
11858 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
11009286961061158 = 2 · 710 · 117 |
Discriminant |
Eigenvalues |
2- -1 0 7- 11- -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-151313,22022265] |
[a1,a2,a3,a4,a6] |
j |
765625/22 |
j-invariant |
L |
1.6109861657486 |
L(r)(E,1)/r! |
Ω |
0.40274654143716 |
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 |
94864cd1 106722cn1 11858x1 1078d1 |
Quadratic twists by: -4 -3 -7 -11 |