Atkin-Lehner |
2+ 3+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34122b |
Isogeny class |
Conductor |
34122 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
28673719430156856 = 23 · 316 · 116 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-259184,-50238360] |
[a1,a2,a3,a4,a6] |
j |
1086913000972513/16185567096 |
j-invariant |
L |
0.84712797578747 |
L(r)(E,1)/r! |
Ω |
0.21178199394568 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102366bo3 282a4 |
Quadratic twists by: -3 -11 |