Atkin-Lehner |
2- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
82880bx |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
895488 |
Modular degree for the optimal curve |
Δ |
-9364619454848000 = -1 · 210 · 53 · 711 · 37 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 4 -6 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2468,4655656] |
[a1,a2,a3,a4,a6] |
Generators |
[517:12005:1] |
Generators of the group modulo torsion |
j |
1623525901056/9145136186375 |
j-invariant |
L |
4.5441209734458 |
L(r)(E,1)/r! |
Ω |
0.32257738550398 |
Real period |
R |
0.42687628341788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82880r1 20720b1 |
Quadratic twists by: -4 8 |