Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77400bf |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
37616400000000 = 210 · 37 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 -2 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12675,-463250] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:288:1] |
Generators of the group modulo torsion |
j |
19307236/3225 |
j-invariant |
L |
7.5680483280971 |
L(r)(E,1)/r! |
Ω |
0.45505716107058 |
Real period |
R |
2.0788729902538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983185 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25800k1 15480h1 |
Quadratic twists by: -3 5 |