Atkin-Lehner |
2+ 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042j |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
615422934410636352 = 26 · 3 · 77 · 116 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-221015,13130517] |
[a1,a2,a3,a4,a6] |
j |
10148545224987625/5231008630848 |
j-invariant |
L |
1.0191882519458 |
L(r)(E,1)/r! |
Ω |
0.25479706296811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126fo3 6006p3 |
Quadratic twists by: -3 -7 |