Atkin-Lehner |
3- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
110019u |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
4354560 |
Modular degree for the optimal curve |
Δ |
1.0924828574634E+20 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 2 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2205707,-1156427832] |
[a1,a2,a3,a4,a6] |
Generators |
[-129745:549311:125] |
Generators of the group modulo torsion |
j |
245870868312885817/22633645902777 |
j-invariant |
L |
5.8924698134657 |
L(r)(E,1)/r! |
Ω |
0.12461341416109 |
Real period |
R |
4.7285999133009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8463h1 |
Quadratic twists by: 13 |