Atkin-Lehner |
2- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
10384d |
Isogeny class |
Conductor |
10384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-490588344418304 = -1 · 236 · 112 · 59 |
Discriminant |
Eigenvalues |
2- -1 -1 3 11- -4 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17696,-1392896] |
[a1,a2,a3,a4,a6] |
Generators |
[4944:32768:27] |
Generators of the group modulo torsion |
j |
-149628263143969/119772545024 |
j-invariant |
L |
3.5902293978348 |
L(r)(E,1)/r! |
Ω |
0.2001117455188 |
Real period |
R |
2.2426403486006 |
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 |
1298b1 41536p1 93456bh1 114224j1 |
Quadratic twists by: -4 8 -3 -11 |