Atkin-Lehner |
2+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
29008g |
Isogeny class |
Conductor |
29008 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-56569946094592 = -1 · 210 · 79 · 372 |
Discriminant |
Eigenvalues |
2+ 2 2 7- -4 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,768,-362032] |
[a1,a2,a3,a4,a6] |
j |
415292/469567 |
j-invariant |
L |
4.674559084036 |
L(r)(E,1)/r! |
Ω |
0.29215994275226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14504f1 116032bu1 4144e1 |
Quadratic twists by: -4 8 -7 |