Atkin-Lehner |
2- 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
90900w |
Isogeny class |
Conductor |
90900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-62124468750000 = -1 · 24 · 39 · 59 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 3 4 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6000,-334375] |
[a1,a2,a3,a4,a6] |
Generators |
[100:-1125:1] |
Generators of the group modulo torsion |
j |
1048576/2727 |
j-invariant |
L |
8.2910606264733 |
L(r)(E,1)/r! |
Ω |
0.32077255320831 |
Real period |
R |
1.0769651448803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005696 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30300f1 90900x1 |
Quadratic twists by: -3 5 |