Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976d |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-15922774528753664 = -1 · 221 · 112 · 137 |
Discriminant |
Eigenvalues |
2+ 1 -1 -1 11+ 13+ -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-362561,84125471] |
[a1,a2,a3,a4,a6] |
Generators |
[290:1859:1] |
Generators of the group modulo torsion |
j |
-4165509529/12584 |
j-invariant |
L |
5.4092886101074 |
L(r)(E,1)/r! |
Ω |
0.39356395014643 |
Real period |
R |
1.7180462498723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000112834 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976cz1 3718p1 9152k1 |
Quadratic twists by: -4 8 13 |