Atkin-Lehner |
2+ 3- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
64728d |
Isogeny class |
Conductor |
64728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
92472032042516736 = 28 · 312 · 294 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2111799,-1181119030] |
[a1,a2,a3,a4,a6] |
j |
5581024874631475792/495499142889 |
j-invariant |
L |
2.2542974988618 |
L(r)(E,1)/r! |
Ω |
0.12523874971388 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
129456k2 21576h2 |
Quadratic twists by: -4 -3 |