Atkin-Lehner |
2- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
71744h |
Isogeny class |
Conductor |
71744 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1781760 |
Modular degree for the optimal curve |
Δ |
-1.1021268908364E+21 |
Discriminant |
Eigenvalues |
2- -2 0 1 -3 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-789953,1619690239] |
[a1,a2,a3,a4,a6] |
Generators |
[21895:3237448:1] |
Generators of the group modulo torsion |
j |
-1663711755169157000/33634243494762419 |
j-invariant |
L |
4.0957001831514 |
L(r)(E,1)/r! |
Ω |
0.13026320622985 |
Real period |
R |
0.78604317777633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000639 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71744j1 35872d1 |
Quadratic twists by: -4 8 |