Atkin-Lehner |
3- 5- 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33915s |
Isogeny class |
Conductor |
33915 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-83791382535 = -1 · 32 · 5 · 78 · 17 · 19 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-498,-14609] |
[a1,a2,a3,a4,a6] |
Generators |
[287:4704:1] |
Generators of the group modulo torsion |
j |
-13619385906841/83791382535 |
j-invariant |
L |
9.3340399255485 |
L(r)(E,1)/r! |
Ω |
0.45155577961299 |
Real period |
R |
5.167711469416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101745q1 |
Quadratic twists by: -3 |