Atkin-Lehner |
2+ 3- 5- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
40890t |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
15052800 |
Modular degree for the optimal curve |
Δ |
1.0453202467086E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-383285708,2846002295306] |
[a1,a2,a3,a4,a6] |
j |
6227182404370315104474636922681/104532024670864025220000000 |
j-invariant |
L |
2.5074045336378 |
L(r)(E,1)/r! |
Ω |
0.059700107943462 |
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 |
122670bm1 |
Quadratic twists by: -3 |