Atkin-Lehner |
2- 3+ 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
73968h |
Isogeny class |
Conductor |
73968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
6885230211072 = 212 · 35 · 23 · 673 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -1 0 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5528,97200] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:356:1] |
Generators of the group modulo torsion |
j |
4561907001625/1680964407 |
j-invariant |
L |
6.4967489570637 |
L(r)(E,1)/r! |
Ω |
0.68382648931859 |
Real period |
R |
4.7502905042343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4623b1 |
Quadratic twists by: -4 |