Atkin-Lehner |
11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41327c |
Isogeny class |
Conductor |
41327 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1462272 |
Modular degree for the optimal curve |
Δ |
4.9588896295176E+19 |
Discriminant |
Eigenvalues |
-1 0 -4 -4 11+ 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1221802,-393926720] |
[a1,a2,a3,a4,a6] |
Generators |
[-530:10489:1] |
Generators of the group modulo torsion |
j |
1700926633953/418161601 |
j-invariant |
L |
0.55574902666404 |
L(r)(E,1)/r! |
Ω |
0.14617724563163 |
Real period |
R |
1.9009423260755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41327l1 |
Quadratic twists by: 17 |