Atkin-Lehner |
3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18411f |
Isogeny class |
Conductor |
18411 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1108080 |
Modular degree for the optimal curve |
Δ |
-4.4396710452373E+20 |
Discriminant |
Eigenvalues |
-1 3+ 4 -3 0 3 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1821779,364020566] |
[a1,a2,a3,a4,a6] |
j |
109062327671/72412707 |
j-invariant |
L |
0.83867884884159 |
L(r)(E,1)/r! |
Ω |
0.1048348561052 |
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 |
55233s1 18411k1 |
Quadratic twists by: -3 -19 |