Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544cs |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
16973344372948992 = 225 · 36 · 74 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -6 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-403212,-98348560] |
[a1,a2,a3,a4,a6] |
j |
37936442980801/88817792 |
j-invariant |
L |
1.5158885702103 |
L(r)(E,1)/r! |
Ω |
0.18948607067328 |
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 |
68544ef2 2142k2 7616c2 |
Quadratic twists by: -4 8 -3 |