Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280cp |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
86175591552000 = 210 · 36 · 53 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13032,358344] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:620:1] [130:928:1] |
Generators of the group modulo torsion |
j |
327890958336/115440125 |
j-invariant |
L |
11.45788453025 |
L(r)(E,1)/r! |
Ω |
0.55591297649148 |
Real period |
R |
1.7175776627782 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998305 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280fa1 11160f1 9920f1 |
Quadratic twists by: -4 8 -3 |