Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520bk |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
170769876480 = 29 · 34 · 5 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18440,-957480] |
[a1,a2,a3,a4,a6] |
j |
11512557512/2835 |
j-invariant |
L |
1.6387917613597 |
L(r)(E,1)/r! |
Ω |
0.40969794033993 |
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 |
23520y4 47040cq4 70560bc4 117600dc4 |
Quadratic twists by: -4 8 -3 5 |