Atkin-Lehner |
2- 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19266o |
Isogeny class |
Conductor |
19266 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
931392 |
Modular degree for the optimal curve |
Δ |
-3.1820785598838E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 3 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2230043,1541661545] |
[a1,a2,a3,a4,a6] |
j |
-254099214331341625/65925097924608 |
j-invariant |
L |
3.5952683811305 |
L(r)(E,1)/r! |
Ω |
0.16342129005139 |
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 |
57798i1 1482a1 |
Quadratic twists by: -3 13 |