Atkin-Lehner |
2+ 3- 7+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426n |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3810485343092022 = -1 · 2 · 310 · 74 · 19 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-67716,7421134] |
[a1,a2,a3,a4,a6] |
Generators |
[203:1316:1] |
Generators of the group modulo torsion |
j |
-47105723694528577/5227003214118 |
j-invariant |
L |
5.4877251431608 |
L(r)(E,1)/r! |
Ω |
0.42988411957061 |
Real period |
R |
3.1913979215408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142w3 |
Quadratic twists by: -3 |