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 |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-42375421734912 = -1 · 212 · 315 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -3 -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3840,299504] |
[a1,a2,a3,a4,a6] |
Generators |
[194:5103:8] |
Generators of the group modulo torsion |
j |
2097152000/14191443 |
j-invariant |
L |
4.7672390967715 |
L(r)(E,1)/r! |
Ω |
0.46685291475731 |
Real period |
R |
2.5528592355785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6489e1 34608i1 |
Quadratic twists by: -4 -3 |