Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1638j |
Isogeny class |
Conductor |
1638 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-132678 = -1 · 2 · 36 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-140967,20406843] |
[a1,a2,a3,a4,a6] |
j |
-424962187484640625/182 |
j-invariant |
L |
1.3876537053902 |
L(r)(E,1)/r! |
Ω |
1.3876537053902 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
13104bv3 52416cj3 182b3 40950dr3 |
Quadratic twists by: -4 8 -3 5 |