Atkin-Lehner |
2- 3+ 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360w |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
227556000000 = 28 · 33 · 56 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2607,-45806] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:70:1] |
Generators of the group modulo torsion |
j |
283493480688/32921875 |
j-invariant |
L |
6.7871377994913 |
L(r)(E,1)/r! |
Ω |
0.67319541501506 |
Real period |
R |
0.42008219451121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036695 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108360a1 |
Quadratic twists by: -3 |