Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10350bc |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
231787008000000000 = 218 · 39 · 59 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-155630,-4640003] |
[a1,a2,a3,a4,a6] |
j |
1355469437763/753664000 |
j-invariant |
L |
4.6397984046462 |
L(r)(E,1)/r! |
Ω |
0.2577665780359 |
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 |
82800ct3 10350e1 2070a3 |
Quadratic twists by: -4 -3 5 |