Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574cj |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-133927856832 = -1 · 26 · 3 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-56988,5231568] |
[a1,a2,a3,a4,a6] |
j |
-29343015625/192 |
j-invariant |
L |
5.5605415965885 |
L(r)(E,1)/r! |
Ω |
0.92675693276238 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722bn2 35574bv2 35574s2 |
Quadratic twists by: -3 -7 -11 |