Atkin-Lehner |
2- 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168dd |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1688903350084435968 = 222 · 312 · 73 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1827553,-949491553] |
[a1,a2,a3,a4,a6] |
j |
2575099233338829625/6442654991472 |
j-invariant |
L |
1.5583987277512 |
L(r)(E,1)/r! |
Ω |
0.12986656008168 |
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 |
63168s2 15792r2 |
Quadratic twists by: -4 8 |