Atkin-Lehner |
2+ 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
57798a |
Isogeny class |
Conductor |
57798 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
107128284127488 = 28 · 33 · 138 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 6 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31212,2070992] |
[a1,a2,a3,a4,a6] |
Generators |
[61:595:1] |
Generators of the group modulo torsion |
j |
25803133875/822016 |
j-invariant |
L |
4.9936147511275 |
L(r)(E,1)/r! |
Ω |
0.59168206952459 |
Real period |
R |
4.2198462725305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998289 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57798z1 4446l1 |
Quadratic twists by: -3 13 |