Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
45084m |
Isogeny class |
Conductor |
45084 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
257040 |
Modular degree for the optimal curve |
Δ |
-3173244156881136 = -1 · 24 · 37 · 13 · 178 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -5 13+ 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-175230,-28421523] |
[a1,a2,a3,a4,a6] |
j |
-5331387136/28431 |
j-invariant |
L |
2.4493341595214 |
L(r)(E,1)/r! |
Ω |
0.11663495998293 |
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 |
45084a1 |
Quadratic twists by: 17 |