Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108300bn |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
57620160 |
Modular degree for the optimal curve |
Δ |
-1.3221330653426E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 0 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,82936742,5524556260613] |
[a1,a2,a3,a4,a6] |
Generators |
[-15403:770013:1] |
Generators of the group modulo torsion |
j |
14859212843264/3113912109375 |
j-invariant |
L |
9.1743291140063 |
L(r)(E,1)/r! |
Ω |
0.030771700272293 |
Real period |
R |
3.8223303391114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21660l1 108300q1 |
Quadratic twists by: 5 -19 |