Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
108900bf |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-151609218750000 = -1 · 24 · 36 · 510 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19800,1225125] |
[a1,a2,a3,a4,a6] |
Generators |
[55:550:1] |
Generators of the group modulo torsion |
j |
-3538944/625 |
j-invariant |
L |
8.7374939144434 |
L(r)(E,1)/r! |
Ω |
0.55579171240065 |
Real period |
R |
1.9651008057674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999764515 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12100a1 21780r1 108900bi1 |
Quadratic twists by: -3 5 -11 |