Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40432j |
Isogeny class |
Conductor |
40432 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
231336264255488 = 211 · 74 · 196 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21299,-946542] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:84:1] |
Generators of the group modulo torsion |
j |
11090466/2401 |
j-invariant |
L |
6.7080556667953 |
L(r)(E,1)/r! |
Ω |
0.40127028660956 |
Real period |
R |
2.0896313191632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20216b4 112b4 |
Quadratic twists by: -4 -19 |