Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600q |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-585225000000 = -1 · 26 · 34 · 58 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1992,-14238] |
[a1,a2,a3,a4,a6] |
Generators |
[87:900:1] |
Generators of the group modulo torsion |
j |
873722816/585225 |
j-invariant |
L |
4.2075391530228 |
L(r)(E,1)/r! |
Ω |
0.5218899788237 |
Real period |
R |
2.0155297682486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001767 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600df1 40800x2 16320bm1 |
Quadratic twists by: -4 8 5 |