Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
108900da |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-17362177470000 = -1 · 24 · 315 · 54 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 3 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3300,186725] |
[a1,a2,a3,a4,a6] |
Generators |
[50:3645:8] |
Generators of the group modulo torsion |
j |
4505600/19683 |
j-invariant |
L |
7.6195483189203 |
L(r)(E,1)/r! |
Ω |
0.49535916506627 |
Real period |
R |
1.2818221680552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015415 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36300u1 108900bp1 108900db1 |
Quadratic twists by: -3 5 -11 |