Atkin-Lehner |
2+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
57760a |
Isogeny class |
Conductor |
57760 |
Conductor |
∏ cp |
4 |
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 |
[1503066637363223237693121:104252296585596964121375000:266381288760976832899] |
Generators of the group modulo torsion |
j |
-17213481368/244140625 |
j-invariant |
L |
6.0865150716421 |
L(r)(E,1)/r! |
Ω |
0.049110400864132 |
Real period |
R |
30.983839291401 |
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 |
57760b1 115520ck1 57760i1 |
Quadratic twists by: -4 8 -19 |