Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
43350q |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-23543181363375000 = -1 · 23 · 33 · 56 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 3 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-940146050,-11095744180500] |
[a1,a2,a3,a4,a6] |
j |
-843137281012581793/216 |
j-invariant |
L |
2.0039554493728 |
L(r)(E,1)/r! |
Ω |
0.013632349993335 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1734l2 43350bj2 |
Quadratic twists by: 5 17 |