Atkin-Lehner |
2- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16660f |
Isogeny class |
Conductor |
16660 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
7920 |
Modular degree for the optimal curve |
Δ |
32653600000 = 28 · 55 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 2 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1045,-10025] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:50:1] |
Generators of the group modulo torsion |
j |
205520896/53125 |
j-invariant |
L |
6.1935676119984 |
L(r)(E,1)/r! |
Ω |
0.8556824885505 |
Real period |
R |
0.48254406627627 |
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 |
66640bt1 83300d1 16660d1 |
Quadratic twists by: -4 5 -7 |