Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6600v |
Isogeny class |
Conductor |
6600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
528000000 = 210 · 3 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17608,905212] |
[a1,a2,a3,a4,a6] |
Generators |
[78:16:1] [81:62:1] |
Generators of the group modulo torsion |
j |
37736227588/33 |
j-invariant |
L |
4.2724028691243 |
L(r)(E,1)/r! |
Ω |
1.3757827585546 |
Real period |
R |
3.1054342283034 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13200bb3 52800di4 19800n3 264c4 |
Quadratic twists by: -4 8 -3 5 |