Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
46368w |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-172767168 = -1 · 26 · 36 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15,-632] |
[a1,a2,a3,a4,a6] |
j |
8000/3703 |
j-invariant |
L |
1.6925465709798 |
L(r)(E,1)/r! |
Ω |
0.84627328534083 |
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 |
46368i1 92736fi2 5152e1 |
Quadratic twists by: -4 8 -3 |