Atkin-Lehner |
3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9945h |
Isogeny class |
Conductor |
9945 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-347705947265625 = -1 · 36 · 510 · 132 · 172 |
Discriminant |
Eigenvalues |
1 3- 5- -2 4 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-129444,17980325] |
[a1,a2,a3,a4,a6] |
Generators |
[116:2067:1] |
Generators of the group modulo torsion |
j |
-329036324603513409/476962890625 |
j-invariant |
L |
5.3611326833224 |
L(r)(E,1)/r! |
Ω |
0.53855786480032 |
Real period |
R |
0.4977304235739 |
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 |
1105a2 49725r2 129285s2 |
Quadratic twists by: -3 5 13 |