Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040do |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2428727132160 = 216 · 32 · 5 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1317185,-582298977] |
[a1,a2,a3,a4,a6] |
j |
32779037733124/315 |
j-invariant |
L |
2.2547989086286 |
L(r)(E,1)/r! |
Ω |
0.14092493181492 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040fh4 5880t3 6720e4 |
Quadratic twists by: -4 8 -7 |