Atkin-Lehner |
2+ 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48240a |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
8440070400 = 28 · 39 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-783,7182] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:108:1] |
Generators of the group modulo torsion |
j |
10536048/1675 |
j-invariant |
L |
4.5913832851544 |
L(r)(E,1)/r! |
Ω |
1.250646200935 |
Real period |
R |
1.8356043786393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24120o1 48240d1 |
Quadratic twists by: -4 -3 |