Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81144bp |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1546534693872 = -1 · 24 · 36 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 6 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12495,540911] |
[a1,a2,a3,a4,a6] |
j |
-157216000/1127 |
j-invariant |
L |
3.4054089438762 |
L(r)(E,1)/r! |
Ω |
0.85135223427375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9016g1 11592q1 |
Quadratic twists by: -3 -7 |