Atkin-Lehner |
2- 3- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12834j |
Isogeny class |
Conductor |
12834 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-5345935552512 = -1 · 212 · 310 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -4 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-53564,4786175] |
[a1,a2,a3,a4,a6] |
Generators |
[105:505:1] |
Generators of the group modulo torsion |
j |
-23313505834116217/7333244928 |
j-invariant |
L |
8.0862219432379 |
L(r)(E,1)/r! |
Ω |
0.74779768144666 |
Real period |
R |
0.45055758082824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102672ck1 4278g1 |
Quadratic twists by: -4 -3 |