Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992br |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
153045212479488 = 214 · 316 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 6 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38748,-2874800] |
[a1,a2,a3,a4,a6] |
j |
538671647824/12813633 |
j-invariant |
L |
5.4523873808733 |
L(r)(E,1)/r! |
Ω |
0.34077413823637 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992ha2 15624h2 41664bm2 |
Quadratic twists by: -4 8 -3 |