Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790fd |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
-3.2875251651211E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3105103,-1782544431] |
[a1,a2,a3,a4,a6] |
Generators |
[557:10656:1] |
Generators of the group modulo torsion |
j |
13241287869457332257/13147628906250000 |
j-invariant |
L |
10.998607397193 |
L(r)(E,1)/r! |
Ω |
0.076973668488411 |
Real period |
R |
1.4884158354676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966759 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930c1 83790ej1 |
Quadratic twists by: -3 -7 |