Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935bp |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-732734930000390625 = -1 · 32 · 58 · 76 · 116 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,207391,-19338343] |
[a1,a2,a3,a4,a6] |
j |
4733169839/3515625 |
j-invariant |
L |
2.5538164835305 |
L(r)(E,1)/r! |
Ω |
0.15961353009535 |
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 |
1815a6 735e6 |
Quadratic twists by: -7 -11 |