Atkin-Lehner |
2+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18368j |
Isogeny class |
Conductor |
18368 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
1.8562649641707E+19 |
Discriminant |
Eigenvalues |
2+ 3 1 7- 2 0 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1238572,488384048] |
[a1,a2,a3,a4,a6] |
j |
801581275315909089/70810888830976 |
j-invariant |
L |
5.941757949813 |
L(r)(E,1)/r! |
Ω |
0.21220564106475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18368u1 574i1 128576bu1 |
Quadratic twists by: -4 8 -7 |