Atkin-Lehner |
2- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16660d |
Isogeny class |
Conductor |
16660 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
55440 |
Modular degree for the optimal curve |
Δ |
3841663386400000 = 28 · 55 · 710 · 17 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 2 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51221,3336145] |
[a1,a2,a3,a4,a6] |
j |
205520896/53125 |
j-invariant |
L |
1.2393000974793 |
L(r)(E,1)/r! |
Ω |
0.41310003249309 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66640bm1 83300l1 16660f1 |
Quadratic twists by: -4 5 -7 |