Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83232s |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
19144761127488 = 26 · 36 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 4 4 2 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16473,-786080] |
[a1,a2,a3,a4,a6] |
j |
438976/17 |
j-invariant |
L |
6.7586690352453 |
L(r)(E,1)/r! |
Ω |
0.42241681050627 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83232t1 9248i1 4896j1 |
Quadratic twists by: -4 -3 17 |