Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81144cc |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-15935493485657088 = -1 · 210 · 36 · 79 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 0 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,42189,-5075714] |
[a1,a2,a3,a4,a6] |
Generators |
[46695:990688:125] |
Generators of the group modulo torsion |
j |
275684/529 |
j-invariant |
L |
6.8922793433043 |
L(r)(E,1)/r! |
Ω |
0.20485847908483 |
Real period |
R |
8.411025226618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9016d2 81144bz2 |
Quadratic twists by: -3 -7 |