Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824o |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
2577744 = 24 · 36 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-666,6615] |
[a1,a2,a3,a4,a6] |
Generators |
[159:1980:1] |
Generators of the group modulo torsion |
j |
2800908288/221 |
j-invariant |
L |
4.8203692630957 |
L(r)(E,1)/r! |
Ω |
2.4462645387701 |
Real period |
R |
3.9410040792393 |
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 |
15912i1 127296ca1 3536e1 |
Quadratic twists by: -4 8 -3 |