Atkin-Lehner |
3- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
38775l |
Isogeny class |
Conductor |
38775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12580427578125 = 3 · 57 · 11 · 474 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23151,-1346927] |
[a1,a2,a3,a4,a6] |
Generators |
[880443718:-10171146691:3652264] |
Generators of the group modulo torsion |
j |
87818493850849/805147365 |
j-invariant |
L |
8.0626349573625 |
L(r)(E,1)/r! |
Ω |
0.38725734773396 |
Real period |
R |
10.409918629743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116325u3 7755c3 |
Quadratic twists by: -3 5 |