Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920gz |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
50374410240 = 215 · 3 · 5 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4641,119679] |
[a1,a2,a3,a4,a6] |
Generators |
[50:123:1] |
Generators of the group modulo torsion |
j |
337444269128/1537305 |
j-invariant |
L |
8.0891917217298 |
L(r)(E,1)/r! |
Ω |
1.132223613838 |
Real period |
R |
3.5722588815356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001107 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920ee4 36960n3 |
Quadratic twists by: -4 8 |