Atkin-Lehner |
2- 3+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
118944m |
Isogeny class |
Conductor |
118944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
3641827392 = 26 · 39 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-405,-1188] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:28:1] [-11:44:1] |
Generators of the group modulo torsion |
j |
5832000/2891 |
j-invariant |
L |
11.484906408301 |
L(r)(E,1)/r! |
Ω |
1.1199024686085 |
Real period |
R |
5.1276368842048 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989574 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118944e1 118944a1 |
Quadratic twists by: -4 -3 |