Atkin-Lehner |
3+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
40749f |
Isogeny class |
Conductor |
40749 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
19554589749517461 = 33 · 178 · 473 |
Discriminant |
Eigenvalues |
0 3+ 3 1 -3 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-68589,1616267] |
[a1,a2,a3,a4,a6] |
j |
1478427148288/810130869 |
j-invariant |
L |
2.011917368909 |
L(r)(E,1)/r! |
Ω |
0.33531956147619 |
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 |
122247e1 2397c1 |
Quadratic twists by: -3 17 |