Atkin-Lehner |
2- 3+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394bn |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
6621120 |
Modular degree for the optimal curve |
Δ |
1.4030166600497E+21 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11- -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21815395,-39186321151] |
[a1,a2,a3,a4,a6] |
Generators |
[-2651:6262:1] |
Generators of the group modulo torsion |
j |
44267613003805081/54092365824 |
j-invariant |
L |
8.3910005761509 |
L(r)(E,1)/r! |
Ω |
0.069861941365465 |
Real period |
R |
6.3214906524704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992274 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86394q1 |
Quadratic twists by: -11 |