Atkin-Lehner |
2+ 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042bj |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
82845395016816432 = 24 · 3 · 78 · 116 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11+ 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-596993,176951492] |
[a1,a2,a3,a4,a6] |
j |
200005594092187129/704174238768 |
j-invariant |
L |
1.3729939067766 |
L(r)(E,1)/r! |
Ω |
0.34324847669751 |
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 |
126126gc2 6006f2 |
Quadratic twists by: -3 -7 |