Atkin-Lehner |
2+ 3- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
106128j |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-3713630976 = -1 · 28 · 39 · 11 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 11+ 1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,-2932] |
[a1,a2,a3,a4,a6] |
Generators |
[8239:35379:343] |
Generators of the group modulo torsion |
j |
-1024/19899 |
j-invariant |
L |
8.0659699190872 |
L(r)(E,1)/r! |
Ω |
0.63810145287102 |
Real period |
R |
6.3202879897642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53064h1 35376d1 |
Quadratic twists by: -4 -3 |