Atkin-Lehner |
2+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
40222l |
Isogeny class |
Conductor |
40222 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
29398047669815552 = 28 · 72 · 1310 · 17 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-155258,-22015564] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:684:1] |
Generators of the group modulo torsion |
j |
85748618900673/6090576128 |
j-invariant |
L |
2.8352252497972 |
L(r)(E,1)/r! |
Ω |
0.24158840793028 |
Real period |
R |
2.9339417338819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3094e1 |
Quadratic twists by: 13 |