Atkin-Lehner |
2- 3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
123900i |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-318732750000 = -1 · 24 · 32 · 56 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-733,28462] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:125:1] [-17:189:1] |
Generators of the group modulo torsion |
j |
-174456832/1274931 |
j-invariant |
L |
10.610489262683 |
L(r)(E,1)/r! |
Ω |
0.82981066079652 |
Real period |
R |
0.53277662008034 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002548 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4956b1 |
Quadratic twists by: 5 |