Atkin-Lehner |
3+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5565a |
Isogeny class |
Conductor |
5565 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-838825927734375 = -1 · 33 · 512 · 74 · 53 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 0 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8318,1420263] |
[a1,a2,a3,a4,a6] |
Generators |
[46334:3502971:8] |
Generators of the group modulo torsion |
j |
-63659326265774569/838825927734375 |
j-invariant |
L |
3.4482414351262 |
L(r)(E,1)/r! |
Ω |
0.42489654601821 |
Real period |
R |
8.1154847396157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89040cc3 16695o4 27825q3 38955p3 |
Quadratic twists by: -4 -3 5 -7 |