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 |
37515729337908822 = 2 · 36 · 712 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-128650,-15173402] |
[a1,a2,a3,a4,a6] |
j |
2001566936265625/318878437878 |
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 |
126126fo2 6006p2 |
Quadratic twists by: -3 -7 |