Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
29040ck |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-8488611687600 = -1 · 24 · 32 · 52 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1775,136600] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:2775:8] |
Generators of the group modulo torsion |
j |
16384/225 |
j-invariant |
L |
4.8214108460074 |
L(r)(E,1)/r! |
Ω |
0.54433739072336 |
Real period |
R |
4.4286970986875 |
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 |
7260r1 116160hj1 87120ds1 29040cm1 |
Quadratic twists by: -4 8 -3 -11 |