Atkin-Lehner |
2- 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17808m |
Isogeny class |
Conductor |
17808 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-150113746944 = -1 · 217 · 32 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -3 -6 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1304,3952] |
[a1,a2,a3,a4,a6] |
Generators |
[4:96:1] [34:294:1] |
Generators of the group modulo torsion |
j |
59822347031/36648864 |
j-invariant |
L |
5.6805355246288 |
L(r)(E,1)/r! |
Ω |
0.63398593429039 |
Real period |
R |
0.5600021247895 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2226f1 71232cx1 53424bd1 124656dl1 |
Quadratic twists by: -4 8 -3 -7 |