Atkin-Lehner |
2+ 3- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
101016d |
Isogeny class |
Conductor |
101016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
6284003328 = 211 · 37 · 23 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1616259,-790887202] |
[a1,a2,a3,a4,a6] |
Generators |
[3255614575274089185950:-261285267782001713649608:485912071119109375] |
Generators of the group modulo torsion |
j |
312751283150967554/4209 |
j-invariant |
L |
9.6576612023922 |
L(r)(E,1)/r! |
Ω |
0.13389729874921 |
Real period |
R |
36.063689485785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999967852 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33672f4 |
Quadratic twists by: -3 |