Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16170bh |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1204224 |
Modular degree for the optimal curve |
Δ |
2.9250299439882E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9722508,11638653898] |
[a1,a2,a3,a4,a6] |
Generators |
[1922:6315:1] |
Generators of the group modulo torsion |
j |
863913648706111516969/2486234429521920 |
j-invariant |
L |
4.5389750143345 |
L(r)(E,1)/r! |
Ω |
0.17361027864605 |
Real period |
R |
1.8674729604282 |
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 |
129360ff1 48510dc1 80850et1 2310b1 |
Quadratic twists by: -4 -3 5 -7 |