Atkin-Lehner |
2- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
32032h |
Isogeny class |
Conductor |
32032 |
Conductor |
∏ cp |
16 |
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 |
[-533:124852:1] |
Generators of the group modulo torsion |
j |
-17138533760517540418048/3208533111172119731 |
j-invariant |
L |
2.5416976590397 |
L(r)(E,1)/r! |
Ω |
0.12098241014111 |
Real period |
R |
1.3130512402978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32032m1 64064bc1 |
Quadratic twists by: -4 8 |