Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81144bb |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-50489497217311488 = -1 · 28 · 39 · 77 · 233 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 5 4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,89964,3000564] |
[a1,a2,a3,a4,a6] |
Generators |
[1890:48951:8] |
Generators of the group modulo torsion |
j |
135834624/85169 |
j-invariant |
L |
6.9431282042807 |
L(r)(E,1)/r! |
Ω |
0.22084907254473 |
Real period |
R |
3.9297924847417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998463 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81144g1 11592h1 |
Quadratic twists by: -3 -7 |