Atkin-Lehner |
2- 3+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
41808j |
Isogeny class |
Conductor |
41808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-36414768 = -1 · 24 · 3 · 132 · 672 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -6 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-289,-1820] |
[a1,a2,a3,a4,a6] |
Generators |
[3306:67067:8] |
Generators of the group modulo torsion |
j |
-167416840192/2275923 |
j-invariant |
L |
3.5570287910889 |
L(r)(E,1)/r! |
Ω |
0.57832066856101 |
Real period |
R |
6.1506167502948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999883 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10452c1 125424v1 |
Quadratic twists by: -4 -3 |