Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4032m |
Isogeny class |
Conductor |
4032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
2939328 = 26 · 38 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,236] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:18:1] |
Generators of the group modulo torsion |
j |
1000000/63 |
j-invariant |
L |
3.7935493181186 |
L(r)(E,1)/r! |
Ω |
2.4945881136612 |
Real period |
R |
1.520711694786 |
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 |
4032e1 2016f2 1344c1 100800dh1 |
Quadratic twists by: -4 8 -3 5 |