Atkin-Lehner |
2+ 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042bl |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
25973203849851258 = 2 · 33 · 77 · 112 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-74114,425954] |
[a1,a2,a3,a4,a6] |
j |
382672988497801/220768590042 |
j-invariant |
L |
3.8428330055031 |
L(r)(E,1)/r! |
Ω |
0.32023608380346 |
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 |
126126ez2 6006e2 |
Quadratic twists by: -3 -7 |