Atkin-Lehner |
2- 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
32830j |
Isogeny class |
Conductor |
32830 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-123597333440 = -1 · 26 · 5 · 78 · 67 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-573,17861] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:156:1] |
Generators of the group modulo torsion |
j |
-176558481/1050560 |
j-invariant |
L |
7.2154892567533 |
L(r)(E,1)/r! |
Ω |
0.90251424402797 |
Real period |
R |
1.3324792940941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4690e1 |
Quadratic twists by: -7 |