Atkin-Lehner |
3- 5+ 23+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
106605b |
Isogeny class |
Conductor |
106605 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34176 |
Modular degree for the optimal curve |
Δ |
-889405515 = -1 · 36 · 5 · 23 · 1032 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 -4 2 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,222,-662] |
[a1,a2,a3,a4,a6] |
Generators |
[124:1390:1] |
Generators of the group modulo torsion |
j |
1659797504/1220035 |
j-invariant |
L |
5.1698103930385 |
L(r)(E,1)/r! |
Ω |
0.88435406896409 |
Real period |
R |
1.4614650974455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11845c1 |
Quadratic twists by: -3 |