Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9792m |
Isogeny class |
Conductor |
9792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
3248750592 = 218 · 36 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-396,-1296] |
[a1,a2,a3,a4,a6] |
j |
35937/17 |
j-invariant |
L |
2.2418866020398 |
L(r)(E,1)/r! |
Ω |
1.1209433010199 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9792bs1 153c1 1088e1 |
Quadratic twists by: -4 8 -3 |