Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18928s |
Isogeny class |
Conductor |
18928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-176314296983552 = -1 · 213 · 73 · 137 |
Discriminant |
Eigenvalues |
2- -3 4 7+ 1 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8957,549250] |
[a1,a2,a3,a4,a6] |
j |
4019679/8918 |
j-invariant |
L |
1.5854930283959 |
L(r)(E,1)/r! |
Ω |
0.39637325709898 |
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 |
2366g1 75712ci1 1456k1 |
Quadratic twists by: -4 8 13 |