Atkin-Lehner |
2+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
82880l |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-785039360 = -1 · 214 · 5 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 5 -3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,219,-445] |
[a1,a2,a3,a4,a6] |
Generators |
[1002:6623:27] |
Generators of the group modulo torsion |
j |
70575104/47915 |
j-invariant |
L |
7.6134237020724 |
L(r)(E,1)/r! |
Ω |
0.90365177544953 |
Real period |
R |
4.2125871424519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82880z1 10360e1 |
Quadratic twists by: -4 8 |