Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16100j |
Isogeny class |
Conductor |
16100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16320 |
Modular degree for the optimal curve |
Δ |
-1851500000000 = -1 · 28 · 59 · 7 · 232 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -3 -3 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2667,37537] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:125:1] |
Generators of the group modulo torsion |
j |
4194304/3703 |
j-invariant |
L |
3.5759822204805 |
L(r)(E,1)/r! |
Ω |
0.54321857743628 |
Real period |
R |
1.6457381839541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64400cb1 16100g1 112700ba1 |
Quadratic twists by: -4 5 -7 |