Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848bq |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-1462546907136 = -1 · 214 · 37 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -1 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-380485,-90207971] |
[a1,a2,a3,a4,a6] |
j |
-371806976516936704/89266779 |
j-invariant |
L |
1.7300457093171 |
L(r)(E,1)/r! |
Ω |
0.096113650517618 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22848be1 5712i1 68544dx1 |
Quadratic twists by: -4 8 -3 |