Atkin-Lehner |
13+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4199a |
Isogeny class |
Conductor |
4199 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1037153 = 132 · 17 · 192 |
Discriminant |
Eigenvalues |
1 2 0 2 -2 13+ 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-85,-336] |
[a1,a2,a3,a4,a6] |
Generators |
[336:560:27] |
Generators of the group modulo torsion |
j |
69173457625/1037153 |
j-invariant |
L |
5.9953108330701 |
L(r)(E,1)/r! |
Ω |
1.5713612221297 |
Real period |
R |
3.8153613240783 |
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 |
67184o2 37791e2 104975i2 54587b2 |
Quadratic twists by: -4 -3 5 13 |