Atkin-Lehner |
2- 3- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
106128ba |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
5159392078528512 = 216 · 313 · 11 · 672 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-85035,-8896678] |
[a1,a2,a3,a4,a6] |
Generators |
[4597:311040:1] |
Generators of the group modulo torsion |
j |
22773479163625/1727869968 |
j-invariant |
L |
7.5692451473089 |
L(r)(E,1)/r! |
Ω |
0.28091803955474 |
Real period |
R |
3.3680843206674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999893959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13266s1 35376q1 |
Quadratic twists by: -4 -3 |