Atkin-Lehner |
2- 3+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
66576w |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1.8767167684192E+23 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-172502312,-871741590672] |
[a1,a2,a3,a4,a6] |
j |
138595307765578440694598953/45818280478984629708 |
j-invariant |
L |
1.9996347730369 |
L(r)(E,1)/r! |
Ω |
0.041659057543752 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8322d3 |
Quadratic twists by: -4 |