Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
4400d |
Isogeny class |
Conductor |
4400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-44000000000 = -1 · 211 · 59 · 11 |
Discriminant |
Eigenvalues |
2+ 3 5+ 1 11- 6 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1675,28250] |
[a1,a2,a3,a4,a6] |
j |
-16241202/1375 |
j-invariant |
L |
4.4616901246319 |
L(r)(E,1)/r! |
Ω |
1.115422531158 |
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 |
2200h1 17600cb1 39600h1 880d1 |
Quadratic twists by: -4 8 -3 5 |