Atkin-Lehner |
2+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
106400a |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-42560000000 = -1 · 212 · 57 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -2 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,9937] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:100:1] |
Generators of the group modulo torsion |
j |
-64/665 |
j-invariant |
L |
4.5361891794269 |
L(r)(E,1)/r! |
Ω |
0.91411317833711 |
Real period |
R |
0.31014958542906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106400bz1 21280s1 |
Quadratic twists by: -4 5 |