Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1638m |
Isogeny class |
Conductor |
1638 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-34357272768 = -1 · 26 · 33 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,745,4079] |
[a1,a2,a3,a4,a6] |
j |
1695802078125/1272491584 |
j-invariant |
L |
2.9733272296676 |
L(r)(E,1)/r! |
Ω |
0.74333180741691 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
13104bf2 52416o2 1638c4 40950b2 |
Quadratic twists by: -4 8 -3 5 |