Atkin-Lehner |
2- 3- 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
40260g |
Isogeny class |
Conductor |
40260 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2513020141500000000 = 28 · 3 · 59 · 112 · 614 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31236356,-67205633100] |
[a1,a2,a3,a4,a6] |
j |
13166333522338246607608144/9816484927734375 |
j-invariant |
L |
2.0435461987097 |
L(r)(E,1)/r! |
Ω |
0.063860818709802 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120780bc2 |
Quadratic twists by: -3 |