Atkin-Lehner |
3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9075s |
Isogeny class |
Conductor |
9075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-41448299255859375 = -1 · 32 · 59 · 119 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11+ -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24263,-9904608] |
[a1,a2,a3,a4,a6] |
Generators |
[13431:264874:27] |
Generators of the group modulo torsion |
j |
-343/9 |
j-invariant |
L |
2.722598098121 |
L(r)(E,1)/r! |
Ω |
0.15700162686842 |
Real period |
R |
8.6706047332958 |
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 |
27225bu1 9075h1 9075q1 |
Quadratic twists by: -3 5 -11 |