Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960br |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-6116254618936089600 = -1 · 210 · 310 · 52 · 77 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 6 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,402960,-66682512] |
[a1,a2,a3,a4,a6] |
j |
60064829854844/50768853975 |
j-invariant |
L |
5.2741741354427 |
L(r)(E,1)/r! |
Ω |
0.13185435861408 |
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 |
14280f1 |
Quadratic twists by: -7 |