Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81144g |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-69258569571072 = -1 · 28 · 33 · 77 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -5 4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9996,-111132] |
[a1,a2,a3,a4,a6] |
Generators |
[154:2254:1] |
Generators of the group modulo torsion |
j |
135834624/85169 |
j-invariant |
L |
7.9536580806542 |
L(r)(E,1)/r! |
Ω |
0.3550570811841 |
Real period |
R |
0.46668893183671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81144bb1 11592a1 |
Quadratic twists by: -3 -7 |