Atkin-Lehner |
2- 3- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
30222m |
Isogeny class |
Conductor |
30222 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
9121180932 = 22 · 310 · 232 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 2 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1256,-16185] |
[a1,a2,a3,a4,a6] |
j |
300359170873/12511908 |
j-invariant |
L |
3.2162843483191 |
L(r)(E,1)/r! |
Ω |
0.80407108708027 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10074c1 |
Quadratic twists by: -3 |