Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
11682g |
Isogeny class |
Conductor |
11682 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-87314185322496 = -1 · 224 · 36 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 11- -4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9954,-587628] |
[a1,a2,a3,a4,a6] |
Generators |
[15996:374978:27] |
Generators of the group modulo torsion |
j |
-149628263143969/119772545024 |
j-invariant |
L |
3.072364031295 |
L(r)(E,1)/r! |
Ω |
0.23106914028657 |
Real period |
R |
3.3240743738916 |
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 |
93456bh1 1298b1 128502br1 |
Quadratic twists by: -4 -3 -11 |