Atkin-Lehner |
2+ 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576w |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
21300057080856576 = 233 · 34 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 11- -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22351009,-40664389343] |
[a1,a2,a3,a4,a6] |
Generators |
[-936033:4096:343] |
Generators of the group modulo torsion |
j |
4710588959856854135593/81253269504 |
j-invariant |
L |
5.6892480906734 |
L(r)(E,1)/r! |
Ω |
0.069434493232237 |
Real period |
R |
3.4140380773651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48576cz2 1518h2 |
Quadratic twists by: -4 8 |