Atkin-Lehner |
2+ 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042h |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-307377485295648768 = -1 · 224 · 32 · 76 · 113 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-183040,40173568] |
[a1,a2,a3,a4,a6] |
j |
-5764706497797625/2612665516032 |
j-invariant |
L |
1.1456392904847 |
L(r)(E,1)/r! |
Ω |
0.28640982264297 |
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 |
126126fl3 858b3 |
Quadratic twists by: -3 -7 |