Atkin-Lehner |
3- 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
38775r |
Isogeny class |
Conductor |
38775 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-27629643048046875 = -1 · 37 · 58 · 114 · 472 |
Discriminant |
Eigenvalues |
-2 3- 5- 5 11+ 7 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-451208,-117082006] |
[a1,a2,a3,a4,a6] |
j |
-26007284793118720/70731886203 |
j-invariant |
L |
2.578472863396 |
L(r)(E,1)/r! |
Ω |
0.092088316551279 |
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 |
116325bh1 38775a1 |
Quadratic twists by: -3 5 |