Atkin-Lehner |
2- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
42284d |
Isogeny class |
Conductor |
42284 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
9180 |
Modular degree for the optimal curve |
Δ |
-2706176 = -1 · 28 · 11 · 312 |
Discriminant |
Eigenvalues |
2- -1 1 4 11- -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-165,-767] |
[a1,a2,a3,a4,a6] |
j |
-2031616/11 |
j-invariant |
L |
1.9964576515192 |
L(r)(E,1)/r! |
Ω |
0.66548588388806 |
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 |
42284a1 |
Quadratic twists by: -31 |