Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46550bf |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1920000 |
Modular degree for the optimal curve |
Δ |
-122244664062500 = -1 · 22 · 59 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 2 -6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-35436825,81180429625] |
[a1,a2,a3,a4,a6] |
Generators |
[3436:-1767:1] |
Generators of the group modulo torsion |
j |
-21417553667311829/532 |
j-invariant |
L |
3.0054330937046 |
L(r)(E,1)/r! |
Ω |
0.30850747627596 |
Real period |
R |
0.60886553099049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999594 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46550ct1 6650l1 |
Quadratic twists by: 5 -7 |