Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
108576bo |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
59680535616 = 26 · 38 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2289,40480] |
[a1,a2,a3,a4,a6] |
Generators |
[834:7735:8] |
Generators of the group modulo torsion |
j |
28428476608/1279161 |
j-invariant |
L |
10.491343583675 |
L(r)(E,1)/r! |
Ω |
1.098765843058 |
Real period |
R |
4.7741489422735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000838 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
108576bp1 36192s1 |
Quadratic twists by: -4 -3 |