Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040hc |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
266577090025881600 = 222 · 32 · 52 · 710 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-219585,-30919617] |
[a1,a2,a3,a4,a6] |
Generators |
[16766949:812897280:6859] |
Generators of the group modulo torsion |
j |
37966934881/8643600 |
j-invariant |
L |
8.6654025178516 |
L(r)(E,1)/r! |
Ω |
0.22414965638015 |
Real period |
R |
9.6647510616252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47040bq2 11760br2 6720bg2 |
Quadratic twists by: -4 8 -7 |