Atkin-Lehner |
2+ 5- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59450g |
Isogeny class |
Conductor |
59450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
18566132820312500 = 22 · 59 · 292 · 414 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 0 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-129617,-16689959] |
[a1,a2,a3,a4,a6] |
Generators |
[444:3403:1] |
Generators of the group modulo torsion |
j |
123305217652917/9505860004 |
j-invariant |
L |
3.7560230444603 |
L(r)(E,1)/r! |
Ω |
0.25284167606829 |
Real period |
R |
3.7138092727894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998407 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59450u2 |
Quadratic twists by: 5 |