Atkin-Lehner |
2- 3+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82992cb |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
69858049916928 = 222 · 3 · 7 · 133 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12136,-317072] |
[a1,a2,a3,a4,a6] |
j |
48264326765929/17055187968 |
j-invariant |
L |
2.8086580681384 |
L(r)(E,1)/r! |
Ω |
0.46810966564617 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10374e1 |
Quadratic twists by: -4 |