Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16170bg |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
1804265373012157440 = 210 · 38 · 5 · 79 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-343908,-43032734] |
[a1,a2,a3,a4,a6] |
Generators |
[-388:5853:1] |
Generators of the group modulo torsion |
j |
111472148624383/44711377920 |
j-invariant |
L |
4.6758377077197 |
L(r)(E,1)/r! |
Ω |
0.20411458054356 |
Real period |
R |
0.95449610035778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360fe1 48510db1 80850es1 16170j1 |
Quadratic twists by: -4 -3 5 -7 |