Atkin-Lehner |
2+ 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110n |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1192960860000 = 25 · 3 · 54 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4239897,-3362090619] |
[a1,a2,a3,a4,a6] |
j |
71647584155243142409/10140000 |
j-invariant |
L |
1.6833743188682 |
L(r)(E,1)/r! |
Ω |
0.10521089492926 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330eg4 95550jf4 390g4 |
Quadratic twists by: -3 5 -7 |