Atkin-Lehner |
2- 5+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40150y |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
-13573334682828800 = -1 · 220 · 52 · 113 · 733 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 11- 1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6429568,6272425761] |
[a1,a2,a3,a4,a6] |
Generators |
[1461:-907:1] |
Generators of the group modulo torsion |
j |
-1175788177853078812857385/542933387313152 |
j-invariant |
L |
7.298748463802 |
L(r)(E,1)/r! |
Ω |
0.32436302666358 |
Real period |
R |
0.37502982069582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40150p1 |
Quadratic twists by: 5 |