Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462cn |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-2.1456286989602E+22 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11+ 13+ 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-870044,-7054206753] |
[a1,a2,a3,a4,a6] |
Generators |
[25685:4099941:1] |
Generators of the group modulo torsion |
j |
-20699471212993/6097712265216 |
j-invariant |
L |
6.859962366156 |
L(r)(E,1)/r! |
Ω |
0.054119378846469 |
Real period |
R |
1.4404104307695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154j1 2574n1 |
Quadratic twists by: -3 13 |