Atkin-Lehner |
2+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
3232a |
Isogeny class |
Conductor |
3232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-41783296 = -1 · 212 · 1012 |
Discriminant |
Eigenvalues |
2+ 2 -2 -2 2 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129,689] |
[a1,a2,a3,a4,a6] |
Generators |
[5:12:1] |
Generators of the group modulo torsion |
j |
-58411072/10201 |
j-invariant |
L |
4.0348153013001 |
L(r)(E,1)/r! |
Ω |
1.9574365115336 |
Real period |
R |
1.0306375909323 |
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 |
3232c2 6464i1 29088m2 80800h2 |
Quadratic twists by: -4 8 -3 5 |