Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960db |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
20392176465360 = 24 · 32 · 5 · 78 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-401571,97813134] |
[a1,a2,a3,a4,a6] |
j |
3804552637966336/10833165 |
j-invariant |
L |
2.3757164548606 |
L(r)(E,1)/r! |
Ω |
0.5939291718267 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280bo1 |
Quadratic twists by: -7 |