Atkin-Lehner |
3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
26775bq |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4765374755859375 = 38 · 514 · 7 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1288130,-562381878] |
[a1,a2,a3,a4,a6] |
Generators |
[-655:426:1] [-5226:3093:8] |
Generators of the group modulo torsion |
j |
20751759537944401/418359375 |
j-invariant |
L |
5.277652253974 |
L(r)(E,1)/r! |
Ω |
0.14171316011251 |
Real period |
R |
18.62089678116 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8925h4 5355d3 |
Quadratic twists by: -3 5 |