Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5440o |
Isogeny class |
Conductor |
5440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-47349760000 = -1 · 218 · 54 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,-10625] |
[a1,a2,a3,a4,a6] |
Generators |
[35:160:1] |
Generators of the group modulo torsion |
j |
-4826809/180625 |
j-invariant |
L |
2.5442533870022 |
L(r)(E,1)/r! |
Ω |
0.49415882277586 |
Real period |
R |
0.64358189860657 |
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 |
5440x2 85a2 48960bp2 27200i2 |
Quadratic twists by: -4 8 -3 5 |