Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
116160ir |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-4889440332057600 = -1 · 210 · 34 · 52 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,28395,2824875] |
[a1,a2,a3,a4,a6] |
j |
1048576/2025 |
j-invariant |
L |
2.386363063176 |
L(r)(E,1)/r! |
Ω |
0.29829516240506 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160bl1 29040bx1 116160ip1 |
Quadratic twists by: -4 8 -11 |