Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16170bz |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
1440 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
475048017360322560 = 218 · 38 · 5 · 73 · 115 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-214201,18859385] |
[a1,a2,a3,a4,a6] |
Generators |
[-454:4979:1] |
Generators of the group modulo torsion |
j |
3168795413730153943/1384979642449920 |
j-invariant |
L |
8.5517090803936 |
L(r)(E,1)/r! |
Ω |
0.26607538004368 |
Real period |
R |
0.089278261828052 |
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 |
129360dx1 48510bi1 80850s1 16170br1 |
Quadratic twists by: -4 -3 5 -7 |