Atkin-Lehner |
2+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
57760b |
Isogeny class |
Conductor |
57760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3064320 |
Modular degree for the optimal curve |
Δ |
-4.0335962222375E+22 |
Discriminant |
Eigenvalues |
2+ -1 5+ 3 -2 3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2951656,9858975956] |
[a1,a2,a3,a4,a6] |
Generators |
[235020:21660722:27] |
Generators of the group modulo torsion |
j |
-17213481368/244140625 |
j-invariant |
L |
4.891680430431 |
L(r)(E,1)/r! |
Ω |
0.097155581292322 |
Real period |
R |
6.2936173678858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999259 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57760a1 115520cg1 57760h1 |
Quadratic twists by: -4 8 -19 |