Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
82656q |
Isogeny class |
Conductor |
82656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-23138390016 = -1 · 212 · 39 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 6 -3 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,708,992] |
[a1,a2,a3,a4,a6] |
Generators |
[37:279:1] |
Generators of the group modulo torsion |
j |
13144256/7749 |
j-invariant |
L |
8.4549112608329 |
L(r)(E,1)/r! |
Ω |
0.73082938884482 |
Real period |
R |
2.8922315478583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82656bc1 27552t1 |
Quadratic twists by: -4 -3 |