Atkin-Lehner |
2+ 5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
73150a |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
1600156250000 = 24 · 510 · 72 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6167,177741] |
[a1,a2,a3,a4,a6] |
Generators |
[74:-387:1] |
Generators of the group modulo torsion |
j |
1660218096321/102410000 |
j-invariant |
L |
3.4153932118926 |
L(r)(E,1)/r! |
Ω |
0.83024100119081 |
Real period |
R |
1.0284342757411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000261 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14630x1 |
Quadratic twists by: 5 |