Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576bd |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
40 |
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 |
[-174:69:1] |
Generators of the group modulo torsion |
j |
209849322390625/1882056627 |
j-invariant |
L |
6.3655399288492 |
L(r)(E,1)/r! |
Ω |
0.28471320629683 |
Real period |
R |
2.235772625936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48576cm2 759a2 |
Quadratic twists by: -4 8 |