Atkin-Lehner |
2- 3- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
48312m |
Isogeny class |
Conductor |
48312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2046501254780928 = 211 · 38 · 11 · 614 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49179,-3589418] |
[a1,a2,a3,a4,a6] |
Generators |
[-934273890:-5233188353:6859000] |
Generators of the group modulo torsion |
j |
8810596500914/1370738259 |
j-invariant |
L |
7.486542838822 |
L(r)(E,1)/r! |
Ω |
0.3239514240134 |
Real period |
R |
11.555039249503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96624l3 16104d4 |
Quadratic twists by: -4 -3 |