Atkin-Lehner |
2- 3+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
9030r |
Isogeny class |
Conductor |
9030 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
32363583210000 = 24 · 36 · 54 · 74 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29715,1940097] |
[a1,a2,a3,a4,a6] |
j |
2901695454230474161/32363583210000 |
j-invariant |
L |
2.6397238205361 |
L(r)(E,1)/r! |
Ω |
0.65993095513403 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
72240cy2 27090m2 45150ba2 63210cg2 |
Quadratic twists by: -4 -3 5 -7 |