Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610m |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-330164359470 = -1 · 2 · 33 · 5 · 114 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,711,26722] |
[a1,a2,a3,a4,a6] |
Generators |
[8:177:1] |
Generators of the group modulo torsion |
j |
39829997144951/330164359470 |
j-invariant |
L |
3.2845868029366 |
L(r)(E,1)/r! |
Ω |
0.70396726313971 |
Real period |
R |
0.77763720344213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44880ba3 16830co4 28050ch3 61710cm3 |
Quadratic twists by: -4 -3 5 -11 |