Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
4332c |
Isogeny class |
Conductor |
4332 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
166817919419136 = 28 · 36 · 197 |
Discriminant |
Eigenvalues |
2- 3- 2 0 2 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33332,-2269500] |
[a1,a2,a3,a4,a6] |
j |
340062928/13851 |
j-invariant |
L |
3.1879790459133 |
L(r)(E,1)/r! |
Ω |
0.35421989399037 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17328u2 69312s2 12996o2 108300m2 |
Quadratic twists by: -4 8 -3 5 |