Atkin-Lehner |
2- 3+ 7- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
39858m |
Isogeny class |
Conductor |
39858 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
220160 |
Modular degree for the optimal curve |
Δ |
-84668401778688 = -1 · 216 · 34 · 75 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 3 13+ -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10765,612611] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:-972:1] |
Generators of the group modulo torsion |
j |
-137964812816673361/84668401778688 |
j-invariant |
L |
6.0281168422747 |
L(r)(E,1)/r! |
Ω |
0.56146990581631 |
Real period |
R |
0.067101958402259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119574o1 |
Quadratic twists by: -3 |