Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120ca |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
1.7365149220904E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1385776,-595488376] |
[a1,a2,a3,a4,a6] |
Generators |
[-706:5610:1] |
Generators of the group modulo torsion |
j |
574821721947776978312/33916307072078025 |
j-invariant |
L |
7.9691610285878 |
L(r)(E,1)/r! |
Ω |
0.13966083496537 |
Real period |
R |
1.7831504602113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57120be3 114240hl4 |
Quadratic twists by: -4 8 |