Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
33516r |
Isogeny class |
Conductor |
33516 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.6537410453221E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5622015,-5070595754] |
[a1,a2,a3,a4,a6] |
Generators |
[406726530:40176652369:39304] |
Generators of the group modulo torsion |
j |
895043160898000/12086562663 |
j-invariant |
L |
5.1037560265039 |
L(r)(E,1)/r! |
Ω |
0.09812540937713 |
Real period |
R |
13.003145818451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11172s2 4788a2 |
Quadratic twists by: -3 -7 |