Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350do |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
9139200 |
Modular degree for the optimal curve |
Δ |
2305348319101680000 = 27 · 35 · 54 · 179 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 5 6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-219470363,-1251463774383] |
[a1,a2,a3,a4,a6] |
j |
15773608170290225/31104 |
j-invariant |
L |
8.2371102519339 |
L(r)(E,1)/r! |
Ω |
0.039224334533295 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43350k2 43350cq1 |
Quadratic twists by: 5 17 |