Atkin-Lehner |
3- 13- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
57681l |
Isogeny class |
Conductor |
57681 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-5204222022519 = -1 · 37 · 136 · 17 · 29 |
Discriminant |
Eigenvalues |
-1 3- 2 -2 -6 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6314,223688] |
[a1,a2,a3,a4,a6] |
Generators |
[24:280:1] [51:154:1] |
Generators of the group modulo torsion |
j |
-38180835792217/7138850511 |
j-invariant |
L |
6.7196521141153 |
L(r)(E,1)/r! |
Ω |
0.7349593554517 |
Real period |
R |
3.0476298062251 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19227h1 |
Quadratic twists by: -3 |