Atkin-Lehner |
3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18411k |
Isogeny class |
Conductor |
18411 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
58320 |
Modular degree for the optimal curve |
Δ |
-9436896388947 = -1 · 3 · 176 · 194 |
Discriminant |
Eigenvalues |
1 3- 4 -3 0 -3 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5046,-52541] |
[a1,a2,a3,a4,a6] |
j |
109062327671/72412707 |
j-invariant |
L |
3.316522300629 |
L(r)(E,1)/r! |
Ω |
0.41456528757863 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55233m1 18411f1 |
Quadratic twists by: -3 -19 |