Atkin-Lehner |
2+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
45632d |
Isogeny class |
Conductor |
45632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.2220254782312E+21 |
Discriminant |
Eigenvalues |
2+ 2 0 -4 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11687713,-15283370079] |
[a1,a2,a3,a4,a6] |
j |
673554036733995111625/4661657250332672 |
j-invariant |
L |
1.4703502916331 |
L(r)(E,1)/r! |
Ω |
0.081686127323618 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45632v4 1426b4 |
Quadratic twists by: -4 8 |