Atkin-Lehner |
2- 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73892a |
Isogeny class |
Conductor |
73892 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
309888 |
Modular degree for the optimal curve |
Δ |
5460027664 = 24 · 74 · 132 · 292 |
Discriminant |
Eigenvalues |
2- -1 1 7+ 5 13+ 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-558910,-160641571] |
[a1,a2,a3,a4,a6] |
j |
502617940927357696/142129 |
j-invariant |
L |
2.0952954463509 |
L(r)(E,1)/r! |
Ω |
0.17460795258074 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73892l1 |
Quadratic twists by: -7 |