Atkin-Lehner |
2- 3- 7- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
116298bo |
Isogeny class |
Conductor |
116298 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
1728180836928 = 26 · 38 · 73 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40784,-3159309] |
[a1,a2,a3,a4,a6] |
j |
10290954429024697/2370618432 |
j-invariant |
L |
6.0472292792101 |
L(r)(E,1)/r! |
Ω |
0.33595718650868 |
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 |
38766k1 |
Quadratic twists by: -3 |