Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080ej |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
440731238400 = 216 · 38 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4908,-128432] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:40:1] |
Generators of the group modulo torsion |
j |
273671716/9225 |
j-invariant |
L |
4.7946684946226 |
L(r)(E,1)/r! |
Ω |
0.57157225846961 |
Real period |
R |
2.0971401324337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080w1 29520r1 39360df1 |
Quadratic twists by: -4 8 -3 |