Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45864n |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1106184894678549504 = 210 · 38 · 78 · 134 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4173771,-3281628490] |
[a1,a2,a3,a4,a6] |
Generators |
[-481976134:-83992635:405224] |
Generators of the group modulo torsion |
j |
91557481657828/12595401 |
j-invariant |
L |
5.5427922134019 |
L(r)(E,1)/r! |
Ω |
0.10562603691954 |
Real period |
R |
13.118906036448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
91728ba4 15288u3 6552l3 |
Quadratic twists by: -4 -3 -7 |