Atkin-Lehner |
2- 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
108360bs |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-195084669024000 = -1 · 28 · 310 · 53 · 74 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10833,513074] |
[a1,a2,a3,a4,a6] |
Generators |
[13:810:1] |
Generators of the group modulo torsion |
j |
753359810096/1045335375 |
j-invariant |
L |
7.3381295697694 |
L(r)(E,1)/r! |
Ω |
0.38235882285139 |
Real period |
R |
0.79965565901315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000074363 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120c1 |
Quadratic twists by: -3 |