Atkin-Lehner |
2+ 3+ 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
123192b |
Isogeny class |
Conductor |
123192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
8621468928 = 28 · 39 · 29 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 2 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-540,-1836] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:54:1] |
Generators of the group modulo torsion |
j |
3456000/1711 |
j-invariant |
L |
7.4861718832485 |
L(r)(E,1)/r! |
Ω |
1.0420395961064 |
Real period |
R |
0.89801913202583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999912094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123192f1 |
Quadratic twists by: -3 |