Atkin-Lehner |
3- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
115989m |
Isogeny class |
Conductor |
115989 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
40314134693367 = 32 · 23 · 417 |
Discriminant |
Eigenvalues |
-1 3- -2 4 0 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-76088819,-255470147070] |
[a1,a2,a3,a4,a6] |
Generators |
[4978189295913303411911956367428695720:259591006699683563060187386099503855809:436454444027840728759476539968000] |
Generators of the group modulo torsion |
j |
10256120201686185217/8487 |
j-invariant |
L |
5.735195419265 |
L(r)(E,1)/r! |
Ω |
0.051117469180567 |
Real period |
R |
56.098193698111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007736 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2829e3 |
Quadratic twists by: 41 |