Atkin-Lehner |
2- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
50600j |
Isogeny class |
Conductor |
50600 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
2265592736000000 = 211 · 56 · 11 · 235 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 11+ 5 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33808,681888] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:1058:1] |
Generators of the group modulo torsion |
j |
133550346386/70799773 |
j-invariant |
L |
3.0795233057789 |
L(r)(E,1)/r! |
Ω |
0.40433899329572 |
Real period |
R |
1.5232383504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101200f1 2024b1 |
Quadratic twists by: -4 5 |