Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040df |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
404787855360000 = 218 · 3 · 54 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-352865,80555775] |
[a1,a2,a3,a4,a6] |
j |
157551496201/13125 |
j-invariant |
L |
2.0327565946479 |
L(r)(E,1)/r! |
Ω |
0.50818914864954 |
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 |
47040fb4 735a3 6720g3 |
Quadratic twists by: -4 8 -7 |