Atkin-Lehner |
7+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
48503a |
Isogeny class |
Conductor |
48503 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1483368855273851 = -1 · 73 · 137 · 413 |
Discriminant |
Eigenvalues |
0 1 -3 7+ 0 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-40447,-3651735] |
[a1,a2,a3,a4,a6] |
Generators |
[303:3464:1] [24810:1378867:8] |
Generators of the group modulo torsion |
j |
-1516118966272/307318739 |
j-invariant |
L |
7.3697965538759 |
L(r)(E,1)/r! |
Ω |
0.16650839564148 |
Real period |
R |
3.6884008788688 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3731d2 |
Quadratic twists by: 13 |