Atkin-Lehner |
3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16905t |
Isogeny class |
Conductor |
16905 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35280 |
Modular degree for the optimal curve |
Δ |
-3729105646875 = -1 · 32 · 55 · 78 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ -6 4 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,3659,-35885] |
[a1,a2,a3,a4,a6] |
j |
939524096/646875 |
j-invariant |
L |
0.89063413667278 |
L(r)(E,1)/r! |
Ω |
0.44531706833639 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50715bk1 84525g1 16905k1 |
Quadratic twists by: -3 5 -7 |