Atkin-Lehner |
2+ 3+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17856b |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
-27426816 = -1 · 215 · 33 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 1 4 3 -3 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-492,-4208] |
[a1,a2,a3,a4,a6] |
Generators |
[26:24:1] |
Generators of the group modulo torsion |
j |
-14886936/31 |
j-invariant |
L |
6.2834311446509 |
L(r)(E,1)/r! |
Ω |
0.50678539813573 |
Real period |
R |
1.5498254211164 |
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 |
17856g1 8928a1 17856d1 |
Quadratic twists by: -4 8 -3 |