Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
32040i |
Isogeny class |
Conductor |
32040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
415238400 = 28 · 36 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4287,108034] |
[a1,a2,a3,a4,a6] |
Generators |
[29:90:1] |
Generators of the group modulo torsion |
j |
46689225424/2225 |
j-invariant |
L |
7.0487665969775 |
L(r)(E,1)/r! |
Ω |
1.5831436893947 |
Real period |
R |
1.1130964681533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64080k2 3560d2 |
Quadratic twists by: -4 -3 |