Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
32160o |
Isogeny class |
Conductor |
32160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8377551360 = 29 · 36 · 5 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-656,-4524] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:14:1] |
Generators of the group modulo torsion |
j |
61069889672/16362405 |
j-invariant |
L |
4.8517998138316 |
L(r)(E,1)/r! |
Ω |
0.9621100544247 |
Real period |
R |
2.5214370183112 |
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 |
32160u2 64320cm2 96480q2 |
Quadratic twists by: -4 8 -3 |