Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
80400bd |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
61824 |
Modular degree for the optimal curve |
Δ |
7502284800 = 211 · 37 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3648,-85932] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:6:1] |
Generators of the group modulo torsion |
j |
104890772690/146529 |
j-invariant |
L |
8.9053801606243 |
L(r)(E,1)/r! |
Ω |
0.61434504642728 |
Real period |
R |
1.0354093137453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996485 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40200t1 80400o1 |
Quadratic twists by: -4 5 |