Atkin-Lehner |
2- 3+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
66576u |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
32410586387054592 = 220 · 32 · 196 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 2 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1601568,-779546880] |
[a1,a2,a3,a4,a6] |
j |
110917528477314702625/7912740817152 |
j-invariant |
L |
1.6104464670685 |
L(r)(E,1)/r! |
Ω |
0.13420387177341 |
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 |
8322i2 |
Quadratic twists by: -4 |