Atkin-Lehner |
2- 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36432cf |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
322531621632 = 28 · 39 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- 6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-685551,218478026] |
[a1,a2,a3,a4,a6] |
j |
190930594365830608/1728243 |
j-invariant |
L |
1.3429292938112 |
L(r)(E,1)/r! |
Ω |
0.67146464690736 |
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 |
9108l2 12144u2 |
Quadratic twists by: -4 -3 |