Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360dr |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-886331533680 = -1 · 24 · 33 · 5 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 -4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1830,-55017] |
[a1,a2,a3,a4,a6] |
j |
-1755904/2295 |
j-invariant |
L |
2.0880772909727 |
L(r)(E,1)/r! |
Ω |
0.34801288382968 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17340g1 4080r1 |
Quadratic twists by: -4 17 |