Atkin-Lehner |
3- 5- 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
48645f |
Isogeny class |
Conductor |
48645 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41664 |
Modular degree for the optimal curve |
Δ |
200192027715 = 36 · 5 · 232 · 473 |
Discriminant |
Eigenvalues |
1 3- 5- 1 -5 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2319,37790] |
[a1,a2,a3,a4,a6] |
Generators |
[14:82:1] |
Generators of the group modulo torsion |
j |
1892360039409/274611835 |
j-invariant |
L |
7.0799399976721 |
L(r)(E,1)/r! |
Ω |
0.9638462211143 |
Real period |
R |
3.672753932399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5405a1 |
Quadratic twists by: -3 |