Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920eq |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-99213744537600 = -1 · 234 · 3 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2239,-478239] |
[a1,a2,a3,a4,a6] |
Generators |
[5572:38879:64] |
Generators of the group modulo torsion |
j |
4733169839/378470400 |
j-invariant |
L |
4.4128843546092 |
L(r)(E,1)/r! |
Ω |
0.2848591890119 |
Real period |
R |
7.7457293398824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965556 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920cg1 18480dg1 |
Quadratic twists by: -4 8 |