Atkin-Lehner |
2+ 3+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17856d |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-19994148864 = -1 · 215 · 39 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -1 4 -3 -3 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4428,113616] |
[a1,a2,a3,a4,a6] |
Generators |
[48:108:1] |
Generators of the group modulo torsion |
j |
-14886936/31 |
j-invariant |
L |
5.3185321139115 |
L(r)(E,1)/r! |
Ω |
1.2185387523424 |
Real period |
R |
1.0911700804935 |
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 |
17856h1 8928f1 17856b1 |
Quadratic twists by: -4 8 -3 |