Atkin-Lehner |
3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5355d |
Isogeny class |
Conductor |
5355 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
304983984375 = 38 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51525,-4488750] |
[a1,a2,a3,a4,a6] |
j |
20751759537944401/418359375 |
j-invariant |
L |
1.2675210372716 |
L(r)(E,1)/r! |
Ω |
0.31688025931789 |
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 |
85680ek4 1785m4 26775bq4 37485bt4 |
Quadratic twists by: -4 -3 5 -7 |