Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11858bi |
Isogeny class |
Conductor |
11858 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-276804929306680544 = -1 · 25 · 79 · 118 |
Discriminant |
Eigenvalues |
2- -1 2 7- 11- 1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-275822,61118091] |
[a1,a2,a3,a4,a6] |
j |
-268279/32 |
j-invariant |
L |
3.0026484370934 |
L(r)(E,1)/r! |
Ω |
0.30026484370934 |
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 |
94864cf1 106722dl1 11858bf1 11858n1 |
Quadratic twists by: -4 -3 -7 -11 |