Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040gi |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
21251362406400 = 214 · 32 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7121,63279] |
[a1,a2,a3,a4,a6] |
j |
20720464/11025 |
j-invariant |
L |
2.3848590599288 |
L(r)(E,1)/r! |
Ω |
0.59621476494082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47040l2 11760p2 6720bq2 |
Quadratic twists by: -4 8 -7 |