Atkin-Lehner |
3+ 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109005h |
Isogeny class |
Conductor |
109005 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
687212855738150625 = 36 · 54 · 138 · 432 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1635670,803507570] |
[a1,a2,a3,a4,a6] |
Generators |
[710:495:1] |
Generators of the group modulo torsion |
j |
100265305131532009/142374155625 |
j-invariant |
L |
4.7086129614861 |
L(r)(E,1)/r! |
Ω |
0.28608883733414 |
Real period |
R |
4.1146422641393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000161219 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8385c2 |
Quadratic twists by: 13 |