Atkin-Lehner |
2+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41800k |
Isogeny class |
Conductor |
41800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
-19314944000 = -1 · 211 · 53 · 11 · 193 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 11- -3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-648,9008] |
[a1,a2,a3,a4,a6] |
Generators |
[43:250:1] |
Generators of the group modulo torsion |
j |
-117727738/75449 |
j-invariant |
L |
7.0497423236074 |
L(r)(E,1)/r! |
Ω |
1.1276842227795 |
Real period |
R |
3.1257608208033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83600bb1 41800z1 |
Quadratic twists by: -4 5 |