Atkin-Lehner |
2+ 3+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552n |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
8.505722769597E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 2 -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-190995777,914020442433] |
[a1,a2,a3,a4,a6] |
j |
2939375616571000533091537/324467573913459623367 |
j-invariant |
L |
2.8193819500166 |
L(r)(E,1)/r! |
Ω |
0.05873713734375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552dk2 1743b2 |
Quadratic twists by: -4 8 |