Atkin-Lehner |
2- 3+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
81576i |
Isogeny class |
Conductor |
81576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
3924947664 = 24 · 39 · 112 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1026,12285] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:154:1] [-6:135:1] |
Generators of the group modulo torsion |
j |
379275264/12463 |
j-invariant |
L |
9.5960313452555 |
L(r)(E,1)/r! |
Ω |
1.3853900773138 |
Real period |
R |
3.4632958263087 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81576b1 |
Quadratic twists by: -3 |