Atkin-Lehner |
2- 3+ 5- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109650ck |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
9080803593216000 = 213 · 38 · 53 · 17 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -2 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-70653,5558931] |
[a1,a2,a3,a4,a6] |
Generators |
[-265:2532:1] [-191:3578:1] |
Generators of the group modulo torsion |
j |
312036864189739109/72646428745728 |
j-invariant |
L |
14.079532028032 |
L(r)(E,1)/r! |
Ω |
0.38661868793258 |
Real period |
R |
0.23344295879709 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109650bl1 |
Quadratic twists by: 5 |