Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830cw |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
392 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-523480320000000 = -1 · 214 · 37 · 57 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- -5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25772,1942319] |
[a1,a2,a3,a4,a6] |
Generators |
[117:-779:1] |
Generators of the group modulo torsion |
j |
-2596717791529849/718080000000 |
j-invariant |
L |
7.2238265666557 |
L(r)(E,1)/r! |
Ω |
0.49483625927536 |
Real period |
R |
0.03724086230778 |
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 |
5610l1 84150cu1 |
Quadratic twists by: -3 5 |