Atkin-Lehner |
2- 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
21462ba |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
36960 |
Modular degree for the optimal curve |
Δ |
2585582426112 = 211 · 3 · 78 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12398,-526716] |
[a1,a2,a3,a4,a6] |
j |
36559182625/448512 |
j-invariant |
L |
4.9805389360037 |
L(r)(E,1)/r! |
Ω |
0.45277626690942 |
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 |
64386l1 21462w1 |
Quadratic twists by: -3 -7 |