Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
38976cb |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
300 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-13055706960887808 = -1 · 217 · 35 · 75 · 293 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -3 5 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83489,-10818465] |
[a1,a2,a3,a4,a6] |
Generators |
[1687:-68208:1] |
Generators of the group modulo torsion |
j |
-491028574078226/99607139289 |
j-invariant |
L |
6.7829950324863 |
L(r)(E,1)/r! |
Ω |
0.13891452822009 |
Real period |
R |
0.16276183442672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38976i1 9744b1 116928ef1 |
Quadratic twists by: -4 8 -3 |