Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
4770bh |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
-7.0746459960938E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1342607,1413202839] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:39426:1] |
Generators of the group modulo torsion |
j |
-367149213333770500009/970458984375000000 |
j-invariant |
L |
5.6333735981898 |
L(r)(E,1)/r! |
Ω |
0.14191092231624 |
Real period |
R |
0.661609116743 |
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 |
38160cd3 1590a4 23850p3 |
Quadratic twists by: -4 -3 5 |