Atkin-Lehner |
2+ 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664r |
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 |
2.394179316128 |
L(r)(E,1)/r! |
Ω |
1.1970896580601 |
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 |
41664dm1 5208f1 124992cr1 |
Quadratic twists by: -4 8 -3 |