Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
108900dq |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-529254000 = -1 · 24 · 37 · 53 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165,-1375] |
[a1,a2,a3,a4,a6] |
Generators |
[16:9:1] |
Generators of the group modulo torsion |
j |
-2816/3 |
j-invariant |
L |
5.360402349425 |
L(r)(E,1)/r! |
Ω |
0.63906099880013 |
Real period |
R |
2.0969838385868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36300bb1 108900dm1 108900dl1 |
Quadratic twists by: -3 5 -11 |