Atkin-Lehner |
2+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
106400b |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
212800 = 26 · 52 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 5 -1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-78,292] |
[a1,a2,a3,a4,a6] |
Generators |
[6:2:1] |
Generators of the group modulo torsion |
j |
33223360/133 |
j-invariant |
L |
5.3907324221892 |
L(r)(E,1)/r! |
Ω |
3.1743074945975 |
Real period |
R |
0.84911944217359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106400ca1 106400cm1 |
Quadratic twists by: -4 5 |