Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568bc |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1226086714944 = 26 · 34 · 72 · 136 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3774,-72864] |
[a1,a2,a3,a4,a6] |
j |
19248832/3969 |
j-invariant |
L |
2.4717508210313 |
L(r)(E,1)/r! |
Ω |
0.61793763122742 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
113568s1 672h1 |
Quadratic twists by: -4 13 |