Atkin-Lehner |
2+ 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
22704o |
Isogeny class |
Conductor |
22704 |
Conductor |
∏ cp |
23 |
Product of Tamagawa factors cp |
deg |
101568 |
Modular degree for the optimal curve |
Δ |
-712475577362736 = -1 · 24 · 323 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 11- 4 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22635,-1842588] |
[a1,a2,a3,a4,a6] |
j |
-80161237430634496/44529723585171 |
j-invariant |
L |
4.3635016136404 |
L(r)(E,1)/r! |
Ω |
0.18971746146263 |
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 |
11352g1 90816bp1 68112g1 |
Quadratic twists by: -4 8 -3 |