Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336l |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12331029336148224 = 28 · 310 · 138 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 0 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67431,4108390] |
[a1,a2,a3,a4,a6] |
j |
37642192/13689 |
j-invariant |
L |
2.9335483367548 |
L(r)(E,1)/r! |
Ω |
0.36669354209438 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12168f2 97344fg2 8112m2 1872h2 |
Quadratic twists by: -4 8 -3 13 |