Atkin-Lehner |
2+ 3+ 5- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
40890h |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1437696 |
Modular degree for the optimal curve |
Δ |
8.1417233414292E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 2 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1229707,294481801] |
[a1,a2,a3,a4,a6] |
j |
205650230033810243578681/81417233414292034500 |
j-invariant |
L |
1.0497937215509 |
L(r)(E,1)/r! |
Ω |
0.17496562026348 |
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 |
122670bw1 |
Quadratic twists by: -3 |