Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400hq |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
88320000000 = 214 · 3 · 57 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11633,478863] |
[a1,a2,a3,a4,a6] |
Generators |
[18:525:1] |
Generators of the group modulo torsion |
j |
680136784/345 |
j-invariant |
L |
9.6513803535636 |
L(r)(E,1)/r! |
Ω |
1.0604534349147 |
Real period |
R |
2.2752956504171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001904 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400z1 27600b1 22080ch1 |
Quadratic twists by: -4 8 5 |