Atkin-Lehner |
2+ 3+ 7+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
81774b |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3391488 |
Modular degree for the optimal curve |
Δ |
6.6743121719593E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3482148,-2469079984] |
[a1,a2,a3,a4,a6] |
j |
172942485164772591086811/2471967471096037376 |
j-invariant |
L |
0.88491919235622 |
L(r)(E,1)/r! |
Ω |
0.11061489624642 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774bi1 |
Quadratic twists by: -3 |