Atkin-Lehner |
2- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
41800s |
Isogeny class |
Conductor |
41800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
20900000000 = 28 · 58 · 11 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11+ 2 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1908,30688] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:250:1] |
Generators of the group modulo torsion |
j |
192143824/5225 |
j-invariant |
L |
3.6784327010209 |
L(r)(E,1)/r! |
Ω |
1.2081854189232 |
Real period |
R |
0.76114821520898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83600p1 8360b1 |
Quadratic twists by: -4 5 |