Atkin-Lehner |
3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55233t |
Isogeny class |
Conductor |
55233 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
256608 |
Modular degree for the optimal curve |
Δ |
-229042089115659 = -1 · 317 · 173 · 192 |
Discriminant |
Eigenvalues |
-2 3- 2 0 3 -3 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-41439,-3327494] |
[a1,a2,a3,a4,a6] |
j |
-29903139131392/870323211 |
j-invariant |
L |
1.0021291354285 |
L(r)(E,1)/r! |
Ω |
0.16702152248675 |
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 |
18411g1 55233n1 |
Quadratic twists by: -3 -19 |