Atkin-Lehner |
11- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
96679c |
Isogeny class |
Conductor |
96679 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
19226427337337 = 116 · 173 · 472 |
Discriminant |
Eigenvalues |
1 2 0 2 11- 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14280,-627997] |
[a1,a2,a3,a4,a6] |
Generators |
[-2612246010726170343738:-5173602626178743496727:35930825723631148731] |
Generators of the group modulo torsion |
j |
181802454625/10852817 |
j-invariant |
L |
13.993293153268 |
L(r)(E,1)/r! |
Ω |
0.43836052034543 |
Real period |
R |
31.921882800858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987692 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
799b1 |
Quadratic twists by: -11 |