Atkin-Lehner |
2+ 3+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
13632c |
Isogeny class |
Conductor |
13632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3964403712 = 218 · 3 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-929,10785] |
[a1,a2,a3,a4,a6] |
Generators |
[31:104:1] |
Generators of the group modulo torsion |
j |
338608873/15123 |
j-invariant |
L |
3.7382027192692 |
L(r)(E,1)/r! |
Ω |
1.3775261885171 |
Real period |
R |
2.713707187878 |
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 |
13632s2 213a2 40896w2 |
Quadratic twists by: -4 8 -3 |