Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11440f |
Isogeny class |
Conductor |
11440 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-5227805440 = -1 · 28 · 5 · 11 · 135 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 11- 13+ -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-212,3676] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:59:1] |
Generators of the group modulo torsion |
j |
-4116151296/20421115 |
j-invariant |
L |
3.9914020748132 |
L(r)(E,1)/r! |
Ω |
1.1802042766484 |
Real period |
R |
3.3819586607059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5720b1 45760be1 102960x1 57200k1 |
Quadratic twists by: -4 8 -3 5 |