Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576cm |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
493369852428288 = 218 · 35 · 114 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79233,8544033] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:3872:1] |
Generators of the group modulo torsion |
j |
209849322390625/1882056627 |
j-invariant |
L |
5.5088325575663 |
L(r)(E,1)/r! |
Ω |
0.52631958604622 |
Real period |
R |
1.3083382947338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48576bd2 12144bb2 |
Quadratic twists by: -4 8 |