Atkin-Lehner |
2- 3- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
103824bi |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-37233024476884992 = -1 · 212 · 37 · 79 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -3 -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4484640,-3655450384] |
[a1,a2,a3,a4,a6] |
Generators |
[77722034916434:3765503987326809:20525811272] |
Generators of the group modulo torsion |
j |
-3340557830582272000/12469264563 |
j-invariant |
L |
4.7672390967715 |
L(r)(E,1)/r! |
Ω |
0.051872546084145 |
Real period |
R |
22.975733102816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6489e3 34608i3 |
Quadratic twists by: -4 -3 |