Atkin-Lehner |
2- 3- 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
85932bj |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-720327396096 = -1 · 28 · 37 · 73 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- 1 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5592,166052] |
[a1,a2,a3,a4,a6] |
Generators |
[136:1386:1] |
Generators of the group modulo torsion |
j |
-103623368704/3859779 |
j-invariant |
L |
8.493139472232 |
L(r)(E,1)/r! |
Ω |
0.8964831438537 |
Real period |
R |
0.13158113596273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000675 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28644f1 |
Quadratic twists by: -3 |