Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600do |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3958039707750000 = -1 · 24 · 312 · 56 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56455725,-163271392625] |
[a1,a2,a3,a4,a6] |
Generators |
[6554978701720665724115456551566187209387124663844020574936798358410160542:-1152778172967148793888696362347557195999479361087960535167733956767688482887:199842520607776639728184387006983967017911253818408783525109740457877] |
Generators of the group modulo torsion |
j |
-109189315135671400192/21717639 |
j-invariant |
L |
6.2936396741723 |
L(r)(E,1)/r! |
Ω |
0.027538644630272 |
Real period |
R |
114.26923435538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27900i2 37200cq2 4464v2 |
Quadratic twists by: -4 -3 5 |