Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160gm |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-4489844198400 = -1 · 210 · 32 · 52 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-645,102357] |
[a1,a2,a3,a4,a6] |
j |
-16384/2475 |
j-invariant |
L |
2.536307612808 |
L(r)(E,1)/r! |
Ω |
0.63407709159058 |
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 |
116160eb1 29040cv1 10560by1 |
Quadratic twists by: -4 8 -11 |