Atkin-Lehner |
2- 5+ 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
82150j |
Isogeny class |
Conductor |
82150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-76479082812500 = -1 · 22 · 58 · 314 · 53 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 0 -1 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27213,1767031] |
[a1,a2,a3,a4,a6] |
Generators |
[175:1462:1] |
Generators of the group modulo torsion |
j |
-142637575594249/4894661300 |
j-invariant |
L |
5.910771076606 |
L(r)(E,1)/r! |
Ω |
0.60840704632048 |
Real period |
R |
0.60719742529614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16430a1 |
Quadratic twists by: 5 |