Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36432y |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-19744544489472 = -1 · 215 · 39 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 11- -1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4995,253314] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:594:1] |
Generators of the group modulo torsion |
j |
-170953875/244904 |
j-invariant |
L |
6.4173991794534 |
L(r)(E,1)/r! |
Ω |
0.61635883652274 |
Real period |
R |
0.86764922195576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4554a2 36432s1 |
Quadratic twists by: -4 -3 |