Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770cm |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
105969783357523800 = 23 · 310 · 52 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1971811,1065447785] |
[a1,a2,a3,a4,a6] |
Generators |
[716:4205:1] |
Generators of the group modulo torsion |
j |
175654575624148921/21954418200 |
j-invariant |
L |
10.715177374671 |
L(r)(E,1)/r! |
Ω |
0.32230444490939 |
Real period |
R |
0.55409192270149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000155 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290p2 |
Quadratic twists by: 13 |