Atkin-Lehner |
2+ 3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048d |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
2.7865906804494E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5902632,-4898728368] |
[a1,a2,a3,a4,a6] |
j |
11105316930674030846546/1360639980688199211 |
j-invariant |
L |
1.9527288066359 |
L(r)(E,1)/r! |
Ω |
0.097636440327756 |
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 |
24024n2 |
Quadratic twists by: -4 |