Atkin-Lehner |
3+ 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
105963b |
Isogeny class |
Conductor |
105963 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1367808 |
Modular degree for the optimal curve |
Δ |
-12934391905512363 = -1 · 3 · 114 · 138 · 192 |
Discriminant |
Eigenvalues |
-2 3+ -2 -1 11+ 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-189674,-32199334] |
[a1,a2,a3,a4,a6] |
j |
-925129633792/15856203 |
j-invariant |
L |
0.45707269550251 |
L(r)(E,1)/r! |
Ω |
0.11426824874753 |
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 |
105963h1 |
Quadratic twists by: 13 |