Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
123900bf |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40704 |
Modular degree for the optimal curve |
Δ |
277536000 = 28 · 3 · 53 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 -5 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-173,-417] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:21:1] |
Generators of the group modulo torsion |
j |
17997824/8673 |
j-invariant |
L |
9.1614520001815 |
L(r)(E,1)/r! |
Ω |
1.3805272275081 |
Real period |
R |
1.659049497991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999837807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123900o1 |
Quadratic twists by: 5 |