Atkin-Lehner |
2- 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920eb |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
53554294886400 = 212 · 36 · 52 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22041,-1201959] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:224:1] [-79:200:1] |
Generators of the group modulo torsion |
j |
289119478354624/13074779025 |
j-invariant |
L |
8.615997985932 |
L(r)(E,1)/r! |
Ω |
0.3929196527386 |
Real period |
R |
5.4820355292749 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000091 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920gy2 36960bt1 |
Quadratic twists by: -4 8 |