Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
108900bq |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-799095805818750000 = -1 · 24 · 38 · 58 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36300,43091125] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:6750:1] [11:6534:1] |
Generators of the group modulo torsion |
j |
-16384/2475 |
j-invariant |
L |
11.888815929843 |
L(r)(E,1)/r! |
Ω |
0.23153221750762 |
Real period |
R |
3.2092768927136 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000662 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36300bj1 21780s1 9900j1 |
Quadratic twists by: -3 5 -11 |