Atkin-Lehner |
2+ 5+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
99280c |
Isogeny class |
Conductor |
99280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
216033280 = 211 · 5 · 172 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 -3 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176,500] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:34:1] [-1:26:1] |
Generators of the group modulo torsion |
j |
296071778/105485 |
j-invariant |
L |
11.022682740775 |
L(r)(E,1)/r! |
Ω |
1.6268896538118 |
Real period |
R |
1.6938276538662 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49640g1 |
Quadratic twists by: -4 |