Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920gf |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
705241743360 = 216 · 3 · 5 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-62881,6048095] |
[a1,a2,a3,a4,a6] |
Generators |
[154:201:1] |
Generators of the group modulo torsion |
j |
419574424137124/10761135 |
j-invariant |
L |
6.3943702303856 |
L(r)(E,1)/r! |
Ω |
0.8386897157976 |
Real period |
R |
3.8121191357627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920p4 18480l4 |
Quadratic twists by: -4 8 |