Atkin-Lehner |
3- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
37011d |
Isogeny class |
Conductor |
37011 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-5633132270259 = -1 · 3 · 136 · 733 |
Discriminant |
Eigenvalues |
0 3- 3 4 0 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4619,-167800] |
[a1,a2,a3,a4,a6] |
j |
-2258403328/1167051 |
j-invariant |
L |
5.0880144225112 |
L(r)(E,1)/r! |
Ω |
0.28266746791697 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111033c2 219b2 |
Quadratic twists by: -3 13 |