Atkin-Lehner |
2- 3- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
125424t |
Isogeny class |
Conductor |
125424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-161790072717312 = -1 · 220 · 311 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -3 13+ 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8061,544898] |
[a1,a2,a3,a4,a6] |
j |
19400056703/54183168 |
j-invariant |
L |
3.2296721976873 |
L(r)(E,1)/r! |
Ω |
0.40370903274992 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15678b1 41808i1 |
Quadratic twists by: -4 -3 |