Atkin-Lehner |
2- 3- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030bm |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
9765652160013750 = 2 · 36 · 54 · 78 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-55776,-1765494] |
[a1,a2,a3,a4,a6] |
j |
19189616478708469249/9765652160013750 |
j-invariant |
L |
3.9351811774178 |
L(r)(E,1)/r! |
Ω |
0.32793176478468 |
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 |
90090bt2 |
Quadratic twists by: -3 |