Atkin-Lehner |
2+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
33712d |
Isogeny class |
Conductor |
33712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.4340461508639E+20 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2011499,934767610] |
[a1,a2,a3,a4,a6] |
j |
3735639705005154/595175349643 |
j-invariant |
L |
0.70249050126665 |
L(r)(E,1)/r! |
Ω |
0.17562262531672 |
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 |
16856h4 4816b4 |
Quadratic twists by: -4 -7 |