Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
8820c |
Isogeny class |
Conductor |
8820 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
8894264400 = 24 · 33 · 52 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,-3087] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:49:1] |
Generators of the group modulo torsion |
j |
442368/175 |
j-invariant |
L |
3.8935410712265 |
L(r)(E,1)/r! |
Ω |
1.0030356410739 |
Real period |
R |
0.32347978740632 |
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 |
35280db1 8820f1 44100p1 1260c1 |
Quadratic twists by: -4 -3 5 -7 |