Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
29040u |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-785942190000 = -1 · 24 · 310 · 54 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22271,-1287420] |
[a1,a2,a3,a4,a6] |
j |
-57367289145344/36905625 |
j-invariant |
L |
1.9539626047564 |
L(r)(E,1)/r! |
Ω |
0.19539626047558 |
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 |
14520a1 116160gd1 87120bs1 29040v1 |
Quadratic twists by: -4 8 -3 -11 |