Atkin-Lehner |
2- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
10406j |
Isogeny class |
Conductor |
10406 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
11880 |
Modular degree for the optimal curve |
Δ |
-73739455064 = -1 · 23 · 118 · 43 |
Discriminant |
Eigenvalues |
2- 1 3 2 11- -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1026,3356] |
[a1,a2,a3,a4,a6] |
j |
557183/344 |
j-invariant |
L |
6.0668119857181 |
L(r)(E,1)/r! |
Ω |
0.67409022063534 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
83248bb1 93654w1 10406b1 |
Quadratic twists by: -4 -3 -11 |