Atkin-Lehner |
3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18411g |
Isogeny class |
Conductor |
18411 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
32076 |
Modular degree for the optimal curve |
Δ |
-314186679171 = -1 · 311 · 173 · 192 |
Discriminant |
Eigenvalues |
2 3+ -2 0 -3 -3 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4604,124775] |
[a1,a2,a3,a4,a6] |
j |
-29903139131392/870323211 |
j-invariant |
L |
0.96373725435796 |
L(r)(E,1)/r! |
Ω |
0.96373725435796 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55233t1 18411l1 |
Quadratic twists by: -3 -19 |