Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824bj |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
21000736014336 = 216 · 38 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10299,336490] |
[a1,a2,a3,a4,a6] |
j |
40459583737/7033104 |
j-invariant |
L |
2.5982649456241 |
L(r)(E,1)/r! |
Ω |
0.64956623640491 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3978j2 127296cd2 10608z2 |
Quadratic twists by: -4 8 -3 |