Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6600v |
Isogeny class |
Conductor |
6600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
702768000000 = 210 · 3 · 56 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2608,-30788] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:132:1] [-18:100:1] |
Generators of the group modulo torsion |
j |
122657188/43923 |
j-invariant |
L |
4.2724028691243 |
L(r)(E,1)/r! |
Ω |
0.68789137927732 |
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 |
13200bb4 52800di3 19800n4 264c3 |
Quadratic twists by: -4 8 -3 5 |