Atkin-Lehner |
2- 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
90900y |
Isogeny class |
Conductor |
90900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-12424893750000 = -1 · 24 · 39 · 58 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -3 2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8625,-351875] |
[a1,a2,a3,a4,a6] |
Generators |
[898:2457:8] |
Generators of the group modulo torsion |
j |
-15573760/2727 |
j-invariant |
L |
4.4996109857899 |
L(r)(E,1)/r! |
Ω |
0.2453591219635 |
Real period |
R |
4.5847194806284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30300p1 90900p1 |
Quadratic twists by: -3 5 |