Atkin-Lehner |
2+ 3+ 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19470h |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
48589818750000 = 24 · 32 · 58 · 114 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-46887,3873861] |
[a1,a2,a3,a4,a6] |
Generators |
[-213:2169:1] |
Generators of the group modulo torsion |
j |
11399755125823831801/48589818750000 |
j-invariant |
L |
2.5064885621142 |
L(r)(E,1)/r! |
Ω |
0.63851829134113 |
Real period |
R |
0.49068456536492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58410bc4 97350ct4 |
Quadratic twists by: -3 5 |