Atkin-Lehner |
3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
72963w |
Isogeny class |
Conductor |
72963 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-5686941856112240427 = -1 · 36 · 1110 · 673 |
Discriminant |
Eigenvalues |
-2 3- 2 2 11- 2 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,441771,-19782986] |
[a1,a2,a3,a4,a6] |
j |
7382979842048/4403471083 |
j-invariant |
L |
1.6829516408843 |
L(r)(E,1)/r! |
Ω |
0.1402459711207 |
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 |
8107a1 6633c1 |
Quadratic twists by: -3 -11 |