Atkin-Lehner |
3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5355d |
Isogeny class |
Conductor |
5355 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
522620555625 = 310 · 54 · 72 · 172 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3330,-64449] |
[a1,a2,a3,a4,a6] |
j |
5602762882081/716900625 |
j-invariant |
L |
1.2675210372716 |
L(r)(E,1)/r! |
Ω |
0.63376051863578 |
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 |
85680ek2 1785m2 26775bq2 37485bt2 |
Quadratic twists by: -4 -3 5 -7 |