Atkin-Lehner |
2- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
24442j |
Isogeny class |
Conductor |
24442 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-4937284 = -1 · 22 · 112 · 1012 |
Discriminant |
Eigenvalues |
2- 0 3 -2 11- -3 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1,-107] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] |
Generators of the group modulo torsion |
j |
-297/40804 |
j-invariant |
L |
8.7452830719235 |
L(r)(E,1)/r! |
Ω |
1.1113149563816 |
Real period |
R |
1.9673277637687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24442d1 |
Quadratic twists by: -11 |