Atkin-Lehner |
5+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
33725a |
Isogeny class |
Conductor |
33725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8400 |
Modular degree for the optimal curve |
Δ |
-1496546875 = -1 · 56 · 19 · 712 |
Discriminant |
Eigenvalues |
0 0 5+ -1 1 -6 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-200,2156] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:35:1] |
Generators of the group modulo torsion |
j |
-56623104/95779 |
j-invariant |
L |
3.126200441954 |
L(r)(E,1)/r! |
Ω |
1.3517008013509 |
Real period |
R |
1.1563951278381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1349a1 |
Quadratic twists by: 5 |