Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040em |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7228354560000 = -1 · 215 · 3 · 54 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4639,42561] |
[a1,a2,a3,a4,a6] |
Generators |
[40:539:1] |
Generators of the group modulo torsion |
j |
2863288/1875 |
j-invariant |
L |
4.8734765083867 |
L(r)(E,1)/r! |
Ω |
0.46603583008077 |
Real period |
R |
2.614325012064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040gj3 23520x2 960n4 |
Quadratic twists by: -4 8 -7 |