Atkin-Lehner |
3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38115y |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-17656788638671875 = -1 · 36 · 59 · 7 · 116 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 11- -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-143022,-21778155] |
[a1,a2,a3,a4,a6] |
j |
-250523582464/13671875 |
j-invariant |
L |
1.1012502676651 |
L(r)(E,1)/r! |
Ω |
0.12236114085352 |
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 |
4235b3 315a3 |
Quadratic twists by: -3 -11 |