Atkin-Lehner |
2- 7+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
22484b |
Isogeny class |
Conductor |
22484 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
64176 |
Modular degree for the optimal curve |
Δ |
159327110096 = 24 · 7 · 117 · 73 |
Discriminant |
Eigenvalues |
2- 2 -1 7+ 11- 2 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-109341,13952762] |
[a1,a2,a3,a4,a6] |
Generators |
[194:66:1] |
Generators of the group modulo torsion |
j |
9035596445388242944/9957944381 |
j-invariant |
L |
6.9438654500771 |
L(r)(E,1)/r! |
Ω |
0.86186656447955 |
Real period |
R |
1.1509679333963 |
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 |
89936t1 |
Quadratic twists by: -4 |