Atkin-Lehner |
3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9555f |
Isogeny class |
Conductor |
9555 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3960 |
Modular degree for the optimal curve |
Δ |
-22941555 = -1 · 3 · 5 · 76 · 13 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- -5 13+ -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-16,237] |
[a1,a2,a3,a4,a6] |
j |
-4096/195 |
j-invariant |
L |
1.7742232121083 |
L(r)(E,1)/r! |
Ω |
1.7742232121083 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28665bu1 47775cu1 195b1 124215bk1 |
Quadratic twists by: -3 5 -7 13 |