Atkin-Lehner |
3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
5445b |
Isogeny class |
Conductor |
5445 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-81675 = -1 · 33 · 52 · 112 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -3 11- -2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-33,74] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:7:1] [3:1:1] |
Generators of the group modulo torsion |
j |
-1216512/25 |
j-invariant |
L |
2.5197227702021 |
L(r)(E,1)/r! |
Ω |
3.4221296120539 |
Real period |
R |
0.18407563826092 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87120cz1 5445c1 27225n1 5445a1 |
Quadratic twists by: -4 -3 5 -11 |