Atkin-Lehner |
3- 11+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
29733b |
Isogeny class |
Conductor |
29733 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7552 |
Modular degree for the optimal curve |
Δ |
-39574623 = -1 · 3 · 114 · 17 · 53 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 11+ -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,16,303] |
[a1,a2,a3,a4,a6] |
Generators |
[3:18:1] |
Generators of the group modulo torsion |
j |
451217663/39574623 |
j-invariant |
L |
1.8992027092826 |
L(r)(E,1)/r! |
Ω |
1.56449683079 |
Real period |
R |
2.4278767101415 |
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 |
89199i1 |
Quadratic twists by: -3 |