Atkin-Lehner |
2+ 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550a |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1905387442382812500 = 22 · 39 · 512 · 73 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4909317,-4185022159] |
[a1,a2,a3,a4,a6] |
Generators |
[-8772224:-592013:6859] |
Generators of the group modulo torsion |
j |
42547659109328043/6195437500 |
j-invariant |
L |
4.5228898864362 |
L(r)(E,1)/r! |
Ω |
0.10142571459597 |
Real period |
R |
5.5741410160181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999329 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550cp2 10710r4 |
Quadratic twists by: -3 5 |