Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
16650v |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-4315680000000 = -1 · 211 · 36 · 57 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 0 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2808,81216] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:123:1] |
Generators of the group modulo torsion |
j |
214921799/378880 |
j-invariant |
L |
3.2180902771029 |
L(r)(E,1)/r! |
Ω |
0.53323325722125 |
Real period |
R |
1.5087629257564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1850l1 3330q1 |
Quadratic twists by: -3 5 |