Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5800b |
Isogeny class |
Conductor |
5800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5088 |
Modular degree for the optimal curve |
Δ |
-1484800 = -1 · 211 · 52 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -6 -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4728,123568] |
[a1,a2,a3,a4,a6] |
Generators |
[39:4:1] |
Generators of the group modulo torsion |
j |
-228337902530/29 |
j-invariant |
L |
2.6139117849867 |
L(r)(E,1)/r! |
Ω |
2.0879780969828 |
Real period |
R |
1.2518865924714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11600c1 46400q1 52200bx1 5800l1 |
Quadratic twists by: -4 8 -3 5 |