Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
41760ba |
Isogeny class |
Conductor |
41760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
845640000 = 26 · 36 · 54 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-273,1028] |
[a1,a2,a3,a4,a6] |
j |
48228544/18125 |
j-invariant |
L |
2.8919101878366 |
L(r)(E,1)/r! |
Ω |
1.4459550939491 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41760h1 83520cj2 4640d1 |
Quadratic twists by: -4 8 -3 |