Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
3600u |
Isogeny class |
Conductor |
3600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-2519424000 = -1 · 210 · 39 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,285,-1550] |
[a1,a2,a3,a4,a6] |
Generators |
[11:54:1] |
Generators of the group modulo torsion |
j |
27436/27 |
j-invariant |
L |
3.3952510966848 |
L(r)(E,1)/r! |
Ω |
0.78756624608697 |
Real period |
R |
0.53888341354682 |
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 |
1800v1 14400eu1 1200i1 3600r1 |
Quadratic twists by: -4 8 -3 5 |