Atkin-Lehner |
2- 3- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106782q |
Isogeny class |
Conductor |
106782 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1363968 |
Modular degree for the optimal curve |
Δ |
-85479699990621456 = -1 · 24 · 32 · 132 · 378 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 0 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,11608,14059344] |
[a1,a2,a3,a4,a6] |
Generators |
[114:4050:1] |
Generators of the group modulo torsion |
j |
49247/24336 |
j-invariant |
L |
8.5225101511705 |
L(r)(E,1)/r! |
Ω |
0.2652192937873 |
Real period |
R |
0.66945467049613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106782h1 |
Quadratic twists by: 37 |