Atkin-Lehner |
2- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35728t |
Isogeny class |
Conductor |
35728 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
35728 = 24 · 7 · 11 · 29 |
Discriminant |
Eigenvalues |
2- -1 2 7+ 11- 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22,47] |
[a1,a2,a3,a4,a6] |
Generators |
[1:5:1] |
Generators of the group modulo torsion |
j |
76995328/2233 |
j-invariant |
L |
5.0250021022747 |
L(r)(E,1)/r! |
Ω |
3.6506984560652 |
Real period |
R |
1.3764495103467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8932d1 |
Quadratic twists by: -4 |