Atkin-Lehner |
3- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
46569n |
Isogeny class |
Conductor |
46569 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
907200 |
Modular degree for the optimal curve |
Δ |
-17269781665699539 = -1 · 35 · 197 · 433 |
Discriminant |
Eigenvalues |
2 3- 3 4 -2 -2 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-380614,90474739] |
[a1,a2,a3,a4,a6] |
j |
-129615674355712/367083819 |
j-invariant |
L |
11.723605581828 |
L(r)(E,1)/r! |
Ω |
0.39078685273651 |
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 |
2451e1 |
Quadratic twists by: -19 |