Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300ca |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
261360 |
Modular degree for the optimal curve |
Δ |
-4019229018750000 = -1 · 24 · 3 · 58 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 1 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-221833,40256588] |
[a1,a2,a3,a4,a6] |
Generators |
[-10536:221914:27] |
Generators of the group modulo torsion |
j |
-901120/3 |
j-invariant |
L |
7.371089309859 |
L(r)(E,1)/r! |
Ω |
0.44159320781642 |
Real period |
R |
5.5640116887272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108900cy1 36300f1 36300cb1 |
Quadratic twists by: -3 5 -11 |