Atkin-Lehner |
3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10647b |
Isogeny class |
Conductor |
10647 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
8645553420777 = 39 · 7 · 137 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7130,-181736] |
[a1,a2,a3,a4,a6] |
j |
421875/91 |
j-invariant |
L |
1.0550193436279 |
L(r)(E,1)/r! |
Ω |
0.52750967181394 |
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 |
10647a1 74529j1 819a1 |
Quadratic twists by: -3 -7 13 |