Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40800n |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
443904000 = 212 · 3 · 53 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-193,-143] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:28:1] [-3:20:1] |
Generators of the group modulo torsion |
j |
1560896/867 |
j-invariant |
L |
7.6400905198027 |
L(r)(E,1)/r! |
Ω |
1.3726314474625 |
Real period |
R |
1.391504349898 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40800bw2 81600eg1 122400eh2 40800bz2 |
Quadratic twists by: -4 8 -3 5 |