Atkin-Lehner |
3+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
20667c |
Isogeny class |
Conductor |
20667 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165312 |
Modular degree for the optimal curve |
Δ |
-732673376719929 = -1 · 33 · 837 |
Discriminant |
Eigenvalues |
1 3+ -1 0 -3 6 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-379038,-89987391] |
[a1,a2,a3,a4,a6] |
j |
-18420660721/2241 |
j-invariant |
L |
1.5392725856071 |
L(r)(E,1)/r! |
Ω |
0.096204536600443 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62001i1 249a1 |
Quadratic twists by: -3 -83 |