Atkin-Lehner |
5+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
22525a |
Isogeny class |
Conductor |
22525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3096775054931640625 = -1 · 518 · 172 · 532 |
Discriminant |
Eigenvalues |
-1 -2 5+ -2 6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,236187,72245242] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:6034:1] |
Generators of the group modulo torsion |
j |
93254874253221239/198193603515625 |
j-invariant |
L |
2.0244967421665 |
L(r)(E,1)/r! |
Ω |
0.17515262701649 |
Real period |
R |
2.8896180100912 |
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 |
4505b2 |
Quadratic twists by: 5 |