Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
52200y |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
82582031250000 = 24 · 36 · 512 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11550,192625] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:4725:8] |
Generators of the group modulo torsion |
j |
934979584/453125 |
j-invariant |
L |
7.4941104278447 |
L(r)(E,1)/r! |
Ω |
0.54073563870375 |
Real period |
R |
3.4647755258938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400bt1 5800i1 10440bd1 |
Quadratic twists by: -4 -3 5 |