Atkin-Lehner |
2- 3+ 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
87216g |
Isogeny class |
Conductor |
87216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
274357813248 = 224 · 32 · 23 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5792,169728] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1554:1] |
Generators of the group modulo torsion |
j |
5247161161633/66981888 |
j-invariant |
L |
7.2980346580014 |
L(r)(E,1)/r! |
Ω |
0.98140708180407 |
Real period |
R |
3.718148562699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955283 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10902c1 |
Quadratic twists by: -4 |