Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
31824bm |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-358475426795835648 = -1 · 28 · 310 · 136 · 173 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,176505,-3893758] |
[a1,a2,a3,a4,a6] |
Generators |
[74:3094:1] |
Generators of the group modulo torsion |
j |
3258571509326000/1920843121977 |
j-invariant |
L |
6.6512149641374 |
L(r)(E,1)/r! |
Ω |
0.17744640791747 |
Real period |
R |
2.0823861513383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7956g4 127296cm4 10608r4 |
Quadratic twists by: -4 8 -3 |