Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40460f |
Isogeny class |
Conductor |
40460 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
489600 |
Modular degree for the optimal curve |
Δ |
1116139606559644240 = 24 · 5 · 76 · 179 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-569908,-157604127] |
[a1,a2,a3,a4,a6] |
Generators |
[-358:735:1] |
Generators of the group modulo torsion |
j |
10788913152/588245 |
j-invariant |
L |
4.7481657058614 |
L(r)(E,1)/r! |
Ω |
0.17434956072014 |
Real period |
R |
3.0259552426684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40460j1 |
Quadratic twists by: 17 |