Atkin-Lehner |
2- 3+ 5+ 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
106050bk |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4611809937656250000 = 24 · 310 · 510 · 72 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1422813,-645605469] |
[a1,a2,a3,a4,a6] |
Generators |
[-5810:21351:8] |
Generators of the group modulo torsion |
j |
20386711589633915401/295155836010000 |
j-invariant |
L |
6.664366707972 |
L(r)(E,1)/r! |
Ω |
0.13835452315224 |
Real period |
R |
6.021095820326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999690456 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21210r2 |
Quadratic twists by: 5 |