Atkin-Lehner |
3- 11+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
29733a |
Isogeny class |
Conductor |
29733 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3419504197492977 = -1 · 36 · 112 · 173 · 534 |
Discriminant |
Eigenvalues |
-1 3- 0 0 11+ -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8822,2796053] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1670:1] |
Generators of the group modulo torsion |
j |
75931467893921375/3419504197492977 |
j-invariant |
L |
3.926967750674 |
L(r)(E,1)/r! |
Ω |
0.33799627608359 |
Real period |
R |
0.96819798238023 |
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 |
89199h2 |
Quadratic twists by: -3 |