Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600gw |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-249696000000000 = -1 · 214 · 33 · 59 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6833,-788463] |
[a1,a2,a3,a4,a6] |
Generators |
[21909:620000:27] |
Generators of the group modulo torsion |
j |
-1102736/7803 |
j-invariant |
L |
5.4619674091427 |
L(r)(E,1)/r! |
Ω |
0.23284999138881 |
Real period |
R |
5.8642555415325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995461 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600ef1 20400bl1 81600jo1 |
Quadratic twists by: -4 8 5 |