Atkin-Lehner |
3+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67431b |
Isogeny class |
Conductor |
67431 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-176706505898826813 = -1 · 32 · 74 · 137 · 194 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,43176,19945830] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:4170:1] |
Generators of the group modulo torsion |
j |
1844124275447/36609384357 |
j-invariant |
L |
1.73104678678 |
L(r)(E,1)/r! |
Ω |
0.23967216959524 |
Real period |
R |
0.90282008440044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5187c4 |
Quadratic twists by: 13 |