Atkin-Lehner |
2+ 3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550f |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.1687572205943E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -6 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1221378975,786572515125] |
[a1,a2,a3,a4,a6] |
j |
12895999413139823113663940591/7480046211803339421744000 |
j-invariant |
L |
0.71847001001225 |
L(r)(E,1)/r! |
Ω |
0.019957500277962 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97650dm2 6510x2 |
Quadratic twists by: -3 5 |