Atkin-Lehner |
2+ 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
59040bc |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
411995953800000 = 26 · 36 · 55 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32457,-2027756] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:410:1] [-85:342:1] |
Generators of the group modulo torsion |
j |
81047819728576/8830503125 |
j-invariant |
L |
9.7863419883337 |
L(r)(E,1)/r! |
Ω |
0.35820409947641 |
Real period |
R |
1.3660287532509 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999911 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59040ca1 118080bp2 6560i1 |
Quadratic twists by: -4 8 -3 |