Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920ge |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1106297610485760000 = 217 · 32 · 54 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6739521,6731851455] |
[a1,a2,a3,a4,a6] |
Generators |
[1794:20451:1] |
Generators of the group modulo torsion |
j |
258286045443018193442/8440380939375 |
j-invariant |
L |
6.3069621287612 |
L(r)(E,1)/r! |
Ω |
0.25704728764855 |
Real period |
R |
6.1340485107834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920o6 18480m5 |
Quadratic twists by: -4 8 |