Atkin-Lehner |
7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
539d |
Isogeny class |
Conductor |
539 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72 |
Modular degree for the optimal curve |
Δ |
-1294139 = -1 · 76 · 11 |
Discriminant |
Eigenvalues |
-2 1 -1 7- 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16,-66] |
[a1,a2,a3,a4,a6] |
Generators |
[9:24:1] |
Generators of the group modulo torsion |
j |
-4096/11 |
j-invariant |
L |
1.2255668740689 |
L(r)(E,1)/r! |
Ω |
1.1027617076765 |
Real period |
R |
0.55568073570994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8624r1 34496p1 4851l1 13475j1 |
Quadratic twists by: -4 8 -3 5 |