Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600ka |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1253376000000000 = 222 · 32 · 59 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11604833,-15220077537] |
[a1,a2,a3,a4,a6] |
Generators |
[43656646028555201641742907:-14167034337114753476308185752:414131176595063120283] |
Generators of the group modulo torsion |
j |
337575153545189/2448 |
j-invariant |
L |
6.959246391989 |
L(r)(E,1)/r! |
Ω |
0.081797461872119 |
Real period |
R |
42.539500819537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600cj2 20400cu2 81600hg2 |
Quadratic twists by: -4 8 5 |