Atkin-Lehner |
2- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
110864t |
Isogeny class |
Conductor |
110864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-94452580352 = -1 · 220 · 133 · 41 |
Discriminant |
Eigenvalues |
2- -1 0 -4 4 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-368,-14912] |
[a1,a2,a3,a4,a6] |
Generators |
[74:598:1] |
Generators of the group modulo torsion |
j |
-614125/10496 |
j-invariant |
L |
4.6561644937144 |
L(r)(E,1)/r! |
Ω |
0.45945621262037 |
Real period |
R |
2.5335191841821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999524351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13858n1 110864w1 |
Quadratic twists by: -4 13 |