Atkin-Lehner |
2+ 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042x |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
248536185050449296 = 24 · 32 · 78 · 116 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1826304,-950423760] |
[a1,a2,a3,a4,a6] |
j |
5726048926423698937/2112522716304 |
j-invariant |
L |
1.5584652317297 |
L(r)(E,1)/r! |
Ω |
0.12987210265108 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126126fh2 6006l2 |
Quadratic twists by: -3 -7 |