Atkin-Lehner |
3- 13- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
45747i |
Isogeny class |
Conductor |
45747 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21312 |
Modular degree for the optimal curve |
Δ |
-1070891523 = -1 · 36 · 13 · 173 · 23 |
Discriminant |
Eigenvalues |
2 3- 0 -2 0 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-165,1773] |
[a1,a2,a3,a4,a6] |
j |
-681472000/1468987 |
j-invariant |
L |
2.75883563042 |
L(r)(E,1)/r! |
Ω |
1.3794178154639 |
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 |
5083e1 |
Quadratic twists by: -3 |