Atkin-Lehner |
2- 3- 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
87906bl |
Isogeny class |
Conductor |
87906 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-212584573498752 = -1 · 27 · 34 · 74 · 135 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8723,-769119] |
[a1,a2,a3,a4,a6] |
Generators |
[130:481:1] |
Generators of the group modulo torsion |
j |
-30572593452625/88540013952 |
j-invariant |
L |
11.960081759619 |
L(r)(E,1)/r! |
Ω |
0.22866720581545 |
Real period |
R |
0.12453200281452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87906be1 |
Quadratic twists by: -7 |