Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040dc |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.3439430172847E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68843105,219815685375] |
[a1,a2,a3,a4,a6] |
j |
1169975873419524361/108425318400 |
j-invariant |
L |
4.8631402984205 |
L(r)(E,1)/r! |
Ω |
0.13508723052116 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47040ey6 1470b6 6720f6 |
Quadratic twists by: -4 8 -7 |