Atkin-Lehner |
3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9555c |
Isogeny class |
Conductor |
9555 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
802954425 = 3 · 52 · 77 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6983,221712] |
[a1,a2,a3,a4,a6] |
j |
320153881321/6825 |
j-invariant |
L |
1.4681938981512 |
L(r)(E,1)/r! |
Ω |
1.4681938981512 |
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 |
28665bt1 47775cs1 1365f1 124215bf1 |
Quadratic twists by: -3 5 -7 13 |