Atkin-Lehner |
3+ 5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109725b |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2021152716064453125 = -1 · 3 · 514 · 7 · 112 · 194 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11+ -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,221287,-55344844] |
[a1,a2,a3,a4,a6] |
Generators |
[299:5987:1] |
Generators of the group modulo torsion |
j |
76695744340128311/129353773828125 |
j-invariant |
L |
1.9582996127297 |
L(r)(E,1)/r! |
Ω |
0.13773817635444 |
Real period |
R |
3.5543878735546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999882072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21945x3 |
Quadratic twists by: 5 |