Atkin-Lehner |
3+ 5- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
101745g |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
6216301546875 = 33 · 56 · 74 · 17 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 6 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-97809,-11748762] |
[a1,a2,a3,a4,a6] |
Generators |
[1002:29424:1] |
Generators of the group modulo torsion |
j |
3832647711413106123/230233390625 |
j-invariant |
L |
9.3840715826573 |
L(r)(E,1)/r! |
Ω |
0.26996421935982 |
Real period |
R |
1.448351136632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999654979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101745d2 |
Quadratic twists by: -3 |