Atkin-Lehner |
2- 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
85932bh |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
71280 |
Modular degree for the optimal curve |
Δ |
-165075028272 = -1 · 24 · 36 · 73 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1200,25261] |
[a1,a2,a3,a4,a6] |
Generators |
[27:112:1] |
Generators of the group modulo torsion |
j |
-16384000000/14152523 |
j-invariant |
L |
6.8256380862212 |
L(r)(E,1)/r! |
Ω |
0.933728177398 |
Real period |
R |
2.4366970491451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003682 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9548c1 |
Quadratic twists by: -3 |