Atkin-Lehner |
3+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
37011a |
Isogeny class |
Conductor |
37011 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-19835493382709667 = -1 · 33 · 1310 · 732 |
Discriminant |
Eigenvalues |
1 3+ 0 -4 2 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19100,-6859809] |
[a1,a2,a3,a4,a6] |
j |
-159661140625/4109442363 |
j-invariant |
L |
1.3350735582993 |
L(r)(E,1)/r! |
Ω |
0.16688419478683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111033g2 2847a2 |
Quadratic twists by: -3 13 |