Atkin-Lehner |
2+ 3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
55776b |
Isogeny class |
Conductor |
55776 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-114787008 = -1 · 26 · 32 · 74 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -4 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,62,460] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:18:1] |
Generators of the group modulo torsion |
j |
405224000/1793547 |
j-invariant |
L |
4.3104907345016 |
L(r)(E,1)/r! |
Ω |
1.3389860552056 |
Real period |
R |
1.6096100171094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55776j1 111552cy2 |
Quadratic twists by: -4 8 |