Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
4770bg |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-11869286400 = -1 · 212 · 37 · 52 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,553,-1681] |
[a1,a2,a3,a4,a6] |
Generators |
[7:46:1] |
Generators of the group modulo torsion |
j |
25698491351/16281600 |
j-invariant |
L |
5.7503578262006 |
L(r)(E,1)/r! |
Ω |
0.72970288533261 |
Real period |
R |
1.313401646475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38160cb1 1590f1 23850l1 |
Quadratic twists by: -4 -3 5 |