Atkin-Lehner |
13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
6253b |
Isogeny class |
Conductor |
6253 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-31895078532676489 = -1 · 1312 · 372 |
Discriminant |
Eigenvalues |
-1 0 2 -2 2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-285304,59352908] |
[a1,a2,a3,a4,a6] |
j |
-532090803662937/6607901521 |
j-invariant |
L |
0.74283163964174 |
L(r)(E,1)/r! |
Ω |
0.37141581982087 |
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 |
100048l2 56277l2 481a2 |
Quadratic twists by: -4 -3 13 |