Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
4770j |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-185457600 = -1 · 26 · 37 · 52 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-90,756] |
[a1,a2,a3,a4,a6] |
Generators |
[3:21:1] |
Generators of the group modulo torsion |
j |
-111284641/254400 |
j-invariant |
L |
2.5934639420856 |
L(r)(E,1)/r! |
Ω |
1.5935742644669 |
Real period |
R |
0.4068627361639 |
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 |
38160bm1 1590t1 23850cd1 |
Quadratic twists by: -4 -3 5 |