Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4032be |
Isogeny class |
Conductor |
4032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
26453952 = 26 · 310 · 7 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111,-376] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:2:1] |
Generators of the group modulo torsion |
j |
3241792/567 |
j-invariant |
L |
3.1037360409238 |
L(r)(E,1)/r! |
Ω |
1.4884567303928 |
Real period |
R |
2.0852040758381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4032bk1 2016c2 1344k1 100800oa1 |
Quadratic twists by: -4 8 -3 5 |