Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
31824bg |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1873934265655296 = -1 · 213 · 36 · 13 · 176 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5229,2077650] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:360:1] [-63:1224:1] |
Generators of the group modulo torsion |
j |
5295319407/627576794 |
j-invariant |
L |
6.8999929596682 |
L(r)(E,1)/r! |
Ω |
0.36001482927619 |
Real period |
R |
0.79857740091118 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3978e2 127296dp2 3536f2 |
Quadratic twists by: -4 8 -3 |