Atkin-Lehner |
2+ 5- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
50150o |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
264000 |
Modular degree for the optimal curve |
Δ |
-61596737500000 = -1 · 25 · 58 · 174 · 59 |
Discriminant |
Eigenvalues |
2+ -2 5- -5 3 -3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7201,-445452] |
[a1,a2,a3,a4,a6] |
Generators |
[854:147:8] |
Generators of the group modulo torsion |
j |
-105695235625/157687648 |
j-invariant |
L |
1.7983244084873 |
L(r)(E,1)/r! |
Ω |
0.24604405194965 |
Real period |
R |
3.6544764936685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998519 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50150bl1 |
Quadratic twists by: 5 |