Atkin-Lehner |
2- 7+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
9842f |
Isogeny class |
Conductor |
9842 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22848 |
Modular degree for the optimal curve |
Δ |
-3344019410704 = -1 · 24 · 77 · 193 · 37 |
Discriminant |
Eigenvalues |
2- -2 3 7+ 2 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2869,105777] |
[a1,a2,a3,a4,a6] |
j |
-2611709193126097/3344019410704 |
j-invariant |
L |
2.8690981808798 |
L(r)(E,1)/r! |
Ω |
0.71727454521995 |
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 |
78736ba1 88578g1 68894x1 |
Quadratic twists by: -4 -3 -7 |