Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6600v |
Isogeny class |
Conductor |
6600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-222750000 = -1 · 24 · 34 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17,712] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:25:1] [1:27:1] |
Generators of the group modulo torsion |
j |
2048/891 |
j-invariant |
L |
4.2724028691243 |
L(r)(E,1)/r! |
Ω |
1.3757827585546 |
Real period |
R |
0.77635855707585 |
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 |
13200bb1 52800di1 19800n1 264c1 |
Quadratic twists by: -4 8 -3 5 |