Atkin-Lehner |
2+ 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46368k |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
7511616 = 26 · 36 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-489,4160] |
[a1,a2,a3,a4,a6] |
j |
277167808/161 |
j-invariant |
L |
2.3201205215629 |
L(r)(E,1)/r! |
Ω |
2.3201205217503 |
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 |
46368x1 92736dy1 5152d1 |
Quadratic twists by: -4 8 -3 |