Atkin-Lehner |
13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
6253b |
Isogeny class |
Conductor |
6253 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19152 |
Modular degree for the optimal curve |
Δ |
392366476801 = 139 · 37 |
Discriminant |
Eigenvalues |
-1 0 2 -2 2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-286149,58987868] |
[a1,a2,a3,a4,a6] |
j |
536832589893417/81289 |
j-invariant |
L |
0.74283163964174 |
L(r)(E,1)/r! |
Ω |
0.74283163964174 |
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 |
100048l1 56277l1 481a1 |
Quadratic twists by: -4 -3 13 |