Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510bg |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
5778492402375000 = 23 · 36 · 56 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9638064,11519235720] |
[a1,a2,a3,a4,a6] |
Generators |
[-228716:1246013:64] |
Generators of the group modulo torsion |
j |
23560326604350529/1375000 |
j-invariant |
L |
4.7721022232431 |
L(r)(E,1)/r! |
Ω |
0.32134991054203 |
Real period |
R |
7.425087212818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
5390u2 48510o2 |
Quadratic twists by: -3 -7 |