Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170m |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
6627237366435840 = 212 · 36 · 5 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14040142,-20254933964] |
[a1,a2,a3,a4,a6] |
Generators |
[247993234357380:-11380185258898978:46152383003] |
Generators of the group modulo torsion |
j |
2601656892010848045529/56330588160 |
j-invariant |
L |
3.3182024421056 |
L(r)(E,1)/r! |
Ω |
0.077993188630914 |
Real period |
R |
21.272386091356 |
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 |
129360hy1 48510dk1 80850fx1 2310g1 |
Quadratic twists by: -4 -3 5 -7 |