Atkin-Lehner |
3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
26775be |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2697095367421875 = -1 · 310 · 57 · 7 · 174 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,29808,1515591] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:863:1] |
Generators of the group modulo torsion |
j |
257138126279/236782035 |
j-invariant |
L |
5.4397770409784 |
L(r)(E,1)/r! |
Ω |
0.29728360894277 |
Real period |
R |
1.1436421478811 |
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 |
8925r4 5355h4 |
Quadratic twists by: -3 5 |