Atkin-Lehner |
2+ 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
65450k |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
128000 |
Modular degree for the optimal curve |
Δ |
-976995712000 = -1 · 210 · 53 · 74 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 11+ -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1844,-36342] |
[a1,a2,a3,a4,a6] |
Generators |
[22:111:1] |
Generators of the group modulo torsion |
j |
5551814692243/7815965696 |
j-invariant |
L |
2.3812621796561 |
L(r)(E,1)/r! |
Ω |
0.46750588586073 |
Real period |
R |
1.2733862031258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996453 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65450bk1 |
Quadratic twists by: 5 |