Atkin-Lehner |
2- 5+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
80560g |
Isogeny class |
Conductor |
80560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2118912 |
Modular degree for the optimal curve |
Δ |
82263629952080 = 24 · 5 · 194 · 534 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13150681,-18360064266] |
[a1,a2,a3,a4,a6] |
Generators |
[1368590771179436:-2188144580927869241:535387328] |
Generators of the group modulo torsion |
j |
15719853405797699917103104/5141476872005 |
j-invariant |
L |
3.5250519568757 |
L(r)(E,1)/r! |
Ω |
0.079279790011793 |
Real period |
R |
22.231718557142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978799 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20140c1 |
Quadratic twists by: -4 |