Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
43560c |
Isogeny class |
Conductor |
43560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
-244900592640 = -1 · 210 · 33 · 5 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11- -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,23958] |
[a1,a2,a3,a4,a6] |
j |
-108/5 |
j-invariant |
L |
1.6387459133861 |
L(r)(E,1)/r! |
Ω |
0.81937295675185 |
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 |
87120e1 43560bm1 360b1 |
Quadratic twists by: -4 -3 -11 |