Atkin-Lehner |
2- 3- 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
89244g |
Isogeny class |
Conductor |
89244 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
42434810903808 = 28 · 36 · 373 · 672 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 -3 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-96600,-11551916] |
[a1,a2,a3,a4,a6] |
Generators |
[-22095:2479:125] |
Generators of the group modulo torsion |
j |
534179968000000/227381317 |
j-invariant |
L |
4.4101414533227 |
L(r)(E,1)/r! |
Ω |
0.27081104179066 |
Real period |
R |
2.7141565964753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9916d1 |
Quadratic twists by: -3 |