Atkin-Lehner |
2+ 3+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
19422b |
Isogeny class |
Conductor |
19422 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
15771009536802 = 2 · 39 · 136 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 4 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22668,-1293994] |
[a1,a2,a3,a4,a6] |
Generators |
[90205:2319221:125] |
Generators of the group modulo torsion |
j |
65445954850899/801250294 |
j-invariant |
L |
3.8601040596059 |
L(r)(E,1)/r! |
Ω |
0.38937393792991 |
Real period |
R |
9.9136169208652 |
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 |
19422k2 |
Quadratic twists by: -3 |