Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440cd |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
1873428480 = 214 · 33 · 5 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4203,104858] |
[a1,a2,a3,a4,a6] |
Generators |
[31:66:1] [-17:414:1] |
Generators of the group modulo torsion |
j |
74246873427/16940 |
j-invariant |
L |
9.6291925164667 |
L(r)(E,1)/r! |
Ω |
1.4432120363661 |
Real period |
R |
1.6680141714863 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930r1 55440cn1 |
Quadratic twists by: -4 -3 |