Atkin-Lehner |
2- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
32032m |
Isogeny class |
Conductor |
32032 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
1921024 |
Modular degree for the optimal curve |
Δ |
-1.3142151623361E+22 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 11- 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8594157,-11159039749] |
[a1,a2,a3,a4,a6] |
Generators |
[6721:-484484:1] |
Generators of the group modulo torsion |
j |
-17138533760517540418048/3208533111172119731 |
j-invariant |
L |
5.215801351134 |
L(r)(E,1)/r! |
Ω |
0.043644875206001 |
Real period |
R |
0.26675328260784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32032h1 64064bg1 |
Quadratic twists by: -4 8 |