Atkin-Lehner |
2- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82880be |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-157495119635000000 = -1 · 26 · 57 · 75 · 374 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 5 1 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,75859,17292355] |
[a1,a2,a3,a4,a6] |
Generators |
[230:6845:1] |
Generators of the group modulo torsion |
j |
754326479523774464/2460861244296875 |
j-invariant |
L |
6.0683372929476 |
L(r)(E,1)/r! |
Ω |
0.22910214855119 |
Real period |
R |
2.6487474408788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999937371 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82880b1 20720q1 |
Quadratic twists by: -4 8 |