Atkin-Lehner |
3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55233h |
Isogeny class |
Conductor |
55233 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-20655871641 = -1 · 311 · 17 · 193 |
Discriminant |
Eigenvalues |
1 3- 1 -3 -6 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,531,-5198] |
[a1,a2,a3,a4,a6] |
Generators |
[62:482:1] |
Generators of the group modulo torsion |
j |
3307949/4131 |
j-invariant |
L |
4.5457866195594 |
L(r)(E,1)/r! |
Ω |
0.64955247356785 |
Real period |
R |
1.7495840615227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18411a1 55233k1 |
Quadratic twists by: -3 -19 |