Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
43350q |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4164048 |
Modular degree for the optimal curve |
Δ |
-1.0984306696896E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 3 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11589050,-15273499500] |
[a1,a2,a3,a4,a6] |
j |
-1579268174113/10077696 |
j-invariant |
L |
2.0039554493728 |
L(r)(E,1)/r! |
Ω |
0.040897049980004 |
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 |
1734l1 43350bj1 |
Quadratic twists by: 5 17 |