Atkin-Lehner |
17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6137b |
Isogeny class |
Conductor |
6137 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3929319027001 = -1 · 174 · 196 |
Discriminant |
Eigenvalues |
1 0 -2 4 0 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-248,95445] |
[a1,a2,a3,a4,a6] |
Generators |
[166:2433:8] |
Generators of the group modulo torsion |
j |
-35937/83521 |
j-invariant |
L |
4.5032717448857 |
L(r)(E,1)/r! |
Ω |
0.62991575479367 |
Real period |
R |
3.5745031860338 |
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 |
98192v3 55233g3 104329d3 17a1 |
Quadratic twists by: -4 -3 17 -19 |