Atkin-Lehner |
3- 5+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
101745n |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
20361305956005 = 37 · 5 · 78 · 17 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-233010,-43233485] |
[a1,a2,a3,a4,a6] |
Generators |
[74598:7156097:8] |
Generators of the group modulo torsion |
j |
1919202991234371361/27930460845 |
j-invariant |
L |
5.7925843205476 |
L(r)(E,1)/r! |
Ω |
0.21729823889222 |
Real period |
R |
6.6643249779841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999972807 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33915g4 |
Quadratic twists by: -3 |