Atkin-Lehner |
2+ 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
36600b |
Isogeny class |
Conductor |
36600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3323001840000000 = -1 · 210 · 3 · 57 · 614 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23008,-3073988] |
[a1,a2,a3,a4,a6] |
j |
-84189748324/207687615 |
j-invariant |
L |
2.8900990539375 |
L(r)(E,1)/r! |
Ω |
0.18063119087047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73200ba3 109800bw3 7320q4 |
Quadratic twists by: -4 -3 5 |