Atkin-Lehner |
2- 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048cf |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
28484446561579008 = 212 · 35 · 72 · 112 · 136 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1008008,-389784396] |
[a1,a2,a3,a4,a6] |
j |
27653883672870015625/6954210586323 |
j-invariant |
L |
3.0134922126492 |
L(r)(E,1)/r! |
Ω |
0.15067461064966 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3003d2 |
Quadratic twists by: -4 |