Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400dk |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
50761728000000 = 218 · 36 · 56 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-102208,-12606412] |
[a1,a2,a3,a4,a6] |
j |
1845026709625/793152 |
j-invariant |
L |
3.204205997582 |
L(r)(E,1)/r! |
Ω |
0.26701716646517 |
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 |
2550v1 81600gk1 61200eu1 816e1 |
Quadratic twists by: -4 8 -3 5 |