Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664dm |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
127991808 = 216 · 32 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-257,1407] |
[a1,a2,a3,a4,a6] |
j |
28756228/1953 |
j-invariant |
L |
3.6368411046276 |
L(r)(E,1)/r! |
Ω |
1.8184205523384 |
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 |
41664r1 10416c1 124992fd1 |
Quadratic twists by: -4 8 -3 |