Atkin-Lehner |
3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345bf |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.4883704968159E+20 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1378825,-209447500] |
[a1,a2,a3,a4,a6] |
Generators |
[1775:53300:1] |
Generators of the group modulo torsion |
j |
12010404962647729/6166198828125 |
j-invariant |
L |
4.156994147595 |
L(r)(E,1)/r! |
Ω |
0.14723647896676 |
Real period |
R |
1.1763938576813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91035g3 1785c4 |
Quadratic twists by: -3 17 |