Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5800c |
Isogeny class |
Conductor |
5800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
1051250000 = 24 · 57 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 0 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-283,-1062] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:29:1] |
Generators of the group modulo torsion |
j |
10061824/4205 |
j-invariant |
L |
2.0728131375752 |
L(r)(E,1)/r! |
Ω |
1.2076556008454 |
Real period |
R |
0.85819712843804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11600d1 46400s1 52200cf1 1160d1 |
Quadratic twists by: -4 8 -3 5 |