Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976n |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-2.1193212897771E+19 |
Discriminant |
Eigenvalues |
2+ -2 -1 -1 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-714081,-321177089] |
[a1,a2,a3,a4,a6] |
Generators |
[1122:17069:1] |
Generators of the group modulo torsion |
j |
-31824875809/16749304 |
j-invariant |
L |
2.6934488016902 |
L(r)(E,1)/r! |
Ω |
0.080136506962793 |
Real period |
R |
4.2013448415271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001935 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976dd1 3718g1 9152n1 |
Quadratic twists by: -4 8 13 |