Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600ei |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-193405158000000000 = -1 · 210 · 39 · 59 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 1 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32833,21271463] |
[a1,a2,a3,a4,a6] |
Generators |
[458:10125:1] |
Generators of the group modulo torsion |
j |
-1957215488/96702579 |
j-invariant |
L |
7.7359253613251 |
L(r)(E,1)/r! |
Ω |
0.26401579489703 |
Real period |
R |
1.6278330292389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600gz1 10200k1 81600bx1 |
Quadratic twists by: -4 8 5 |