Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
4770k |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2423672889456150 = 2 · 37 · 52 · 536 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-139860,20027250] |
[a1,a2,a3,a4,a6] |
Generators |
[-77217:2209710:343] |
Generators of the group modulo torsion |
j |
415029055674864961/3324654169350 |
j-invariant |
L |
2.7729566386401 |
L(r)(E,1)/r! |
Ω |
0.46106016956551 |
Real period |
R |
9.021458005969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
38160bp4 1590u4 23850cg4 |
Quadratic twists by: -4 -3 5 |