Atkin-Lehner |
2- 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
9030w |
Isogeny class |
Conductor |
9030 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
1672632662765400 = 23 · 33 · 52 · 72 · 436 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-48166,-3565300] |
[a1,a2,a3,a4,a6] |
Generators |
[254:650:1] |
Generators of the group modulo torsion |
j |
12357938217673466209/1672632662765400 |
j-invariant |
L |
7.3458850893317 |
L(r)(E,1)/r! |
Ω |
0.325154287003 |
Real period |
R |
3.7653330449369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
72240bg2 27090y2 45150a2 63210bv2 |
Quadratic twists by: -4 -3 5 -7 |