Atkin-Lehner |
2- 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52080bq |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
8.9351032496993E+29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10008517216,382695896468084] |
[a1,a2,a3,a4,a6] |
j |
27069048228791329225488740612449/218142169182110852122500000 |
j-invariant |
L |
3.6064255661083 |
L(r)(E,1)/r! |
Ω |
0.028175199732172 |
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 |
6510m2 |
Quadratic twists by: -4 |