Atkin-Lehner |
2+ 3- 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810ba |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
495778763888100 = 22 · 310 · 52 · 74 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-50940,-4280900] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:275:1] |
Generators of the group modulo torsion |
j |
20052928316514241/680080608900 |
j-invariant |
L |
4.5908120899585 |
L(r)(E,1)/r! |
Ω |
0.31844743509887 |
Real period |
R |
1.8020289826351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065362 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39270cb2 |
Quadratic twists by: -3 |