Atkin-Lehner |
2+ 3- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
104442w |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12265344 |
Modular degree for the optimal curve |
Δ |
1258287477602688 = 27 · 32 · 139 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 4 -3 -3 13- -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-84454374,-298738751816] |
[a1,a2,a3,a4,a6] |
j |
6282029557211084893/118656 |
j-invariant |
L |
3.1873080833229 |
L(r)(E,1)/r! |
Ω |
0.049801682877701 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104442bp1 |
Quadratic twists by: 13 |