Atkin-Lehner |
3- 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
38775p |
Isogeny class |
Conductor |
38775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12095982421875 = 32 · 59 · 114 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11+ -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30388,2029517] |
[a1,a2,a3,a4,a6] |
j |
1588915931309/6193143 |
j-invariant |
L |
1.4335816239657 |
L(r)(E,1)/r! |
Ω |
0.71679081203338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116325bf2 38775f2 |
Quadratic twists by: -3 5 |