Atkin-Lehner |
2+ 5- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
57680f |
Isogeny class |
Conductor |
57680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
26615859200 = 211 · 52 · 72 · 1032 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -2 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1307,-16406] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:30:1] |
Generators of the group modulo torsion |
j |
120564797922/12996025 |
j-invariant |
L |
5.5022462868336 |
L(r)(E,1)/r! |
Ω |
0.79956461483331 |
Real period |
R |
1.7203882540165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000159 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28840h2 |
Quadratic twists by: -4 |