Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350bj |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
244944 |
Modular degree for the optimal curve |
Δ |
-45507096000000 = -1 · 29 · 39 · 56 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -3 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-40101,-3111152] |
[a1,a2,a3,a4,a6] |
j |
-1579268174113/10077696 |
j-invariant |
L |
1.5176057115599 |
L(r)(E,1)/r! |
Ω |
0.16862285684372 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1734j1 43350q1 |
Quadratic twists by: 5 17 |