Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
19350cx |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-8281626624000 = -1 · 214 · 37 · 53 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -6 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3280,-118893] |
[a1,a2,a3,a4,a6] |
Generators |
[45:321:1] |
Generators of the group modulo torsion |
j |
42838260499/90882048 |
j-invariant |
L |
6.7110810408771 |
L(r)(E,1)/r! |
Ω |
0.38286764082595 |
Real period |
R |
0.62601651377107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6450i1 19350bg1 |
Quadratic twists by: -3 5 |