Atkin-Lehner |
2- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
65800h |
Isogeny class |
Conductor |
65800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
692736 |
Modular degree for the optimal curve |
Δ |
-449804687500000000 = -1 · 28 · 517 · 72 · 47 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 4 3 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,183967,-10839437] |
[a1,a2,a3,a4,a6] |
Generators |
[6678:546875:1] |
Generators of the group modulo torsion |
j |
172139738479616/112451171875 |
j-invariant |
L |
4.955606006632 |
L(r)(E,1)/r! |
Ω |
0.16942897352622 |
Real period |
R |
1.8280543698983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13160b1 |
Quadratic twists by: 5 |