Atkin-Lehner |
2+ 3- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
17802k |
Isogeny class |
Conductor |
17802 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-7163667216 = -1 · 24 · 39 · 232 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 1 -1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36,-4064] |
[a1,a2,a3,a4,a6] |
Generators |
[20:44:1] [24:80:1] |
Generators of the group modulo torsion |
j |
-7189057/9826704 |
j-invariant |
L |
4.4188787730031 |
L(r)(E,1)/r! |
Ω |
0.59891079612336 |
Real period |
R |
0.46113699252101 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5934h1 |
Quadratic twists by: -3 |