Atkin-Lehner |
2+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22736c |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4416 |
Modular degree for the optimal curve |
Δ |
17825024 = 28 · 74 · 29 |
Discriminant |
Eigenvalues |
2+ 2 1 7+ 2 -5 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,29] |
[a1,a2,a3,a4,a6] |
Generators |
[12:1:27] |
Generators of the group modulo torsion |
j |
50176/29 |
j-invariant |
L |
7.9449531414033 |
L(r)(E,1)/r! |
Ω |
1.8533989991044 |
Real period |
R |
4.2866933376152 |
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 |
11368b1 90944cw1 22736l1 |
Quadratic twists by: -4 8 -7 |