Atkin-Lehner |
2- 3- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41496bc |
Isogeny class |
Conductor |
41496 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
110976 |
Modular degree for the optimal curve |
Δ |
-57160535507712 = -1 · 28 · 317 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -3 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7223,278987] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:162:1] |
Generators of the group modulo torsion |
j |
162770787034112/223283341827 |
j-invariant |
L |
8.3600751962053 |
L(r)(E,1)/r! |
Ω |
0.42321466038774 |
Real period |
R |
0.58099254966506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82992a1 124488u1 |
Quadratic twists by: -4 -3 |