Atkin-Lehner |
2- 3- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
74022w |
Isogeny class |
Conductor |
74022 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
729600 |
Modular degree for the optimal curve |
Δ |
-8947423504268496 = -1 · 24 · 320 · 133 · 73 |
Discriminant |
Eigenvalues |
2- 3- -3 2 0 13- 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-122132,-17057184] |
[a1,a2,a3,a4,a6] |
Generators |
[430:2944:1] |
Generators of the group modulo torsion |
j |
-91702734166020349/4072564180368 |
j-invariant |
L |
10.782863815927 |
L(r)(E,1)/r! |
Ω |
0.12736091242499 |
Real period |
R |
0.529148995404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74022l1 |
Quadratic twists by: 13 |