Atkin-Lehner |
2+ 3- 7- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
36582d |
Isogeny class |
Conductor |
36582 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
3.1226357896465E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-789716,26024402] |
[a1,a2,a3,a4,a6] |
Generators |
[-210:13618:1] |
Generators of the group modulo torsion |
j |
54467285642056586013625/31226357896464826368 |
j-invariant |
L |
5.3758755792442 |
L(r)(E,1)/r! |
Ω |
0.1782790065204 |
Real period |
R |
3.3504758662465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109746u3 |
Quadratic twists by: -3 |