Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510r |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
407730423911580000 = 25 · 38 · 54 · 710 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4656960450,-122320093527500] |
[a1,a2,a3,a4,a6] |
Generators |
[-366792728636311149721:183414122315774323994:9309639003500863] |
Generators of the group modulo torsion |
j |
130231365028993807856757649/4753980000 |
j-invariant |
L |
3.9502906979251 |
L(r)(E,1)/r! |
Ω |
0.018275695660232 |
Real period |
R |
27.018743713936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bs4 6930k4 |
Quadratic twists by: -3 -7 |