Atkin-Lehner |
2+ 3+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
56880a |
Isogeny class |
Conductor |
56880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
7961379840 = 210 · 39 · 5 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3483,79002] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:378:1] |
Generators of the group modulo torsion |
j |
231842412/395 |
j-invariant |
L |
4.9229616657303 |
L(r)(E,1)/r! |
Ω |
1.3137721956567 |
Real period |
R |
1.873597904571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28440b1 56880d1 |
Quadratic twists by: -4 -3 |