Atkin-Lehner |
3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41895bp |
Isogeny class |
Conductor |
41895 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
499200 |
Modular degree for the optimal curve |
Δ |
-1409261473388671875 = -1 · 311 · 513 · 73 · 19 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -2 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-145362,60968997] |
[a1,a2,a3,a4,a6] |
Generators |
[77:-7088:1] |
Generators of the group modulo torsion |
j |
-1358484641579008/5635986328125 |
j-invariant |
L |
5.5438025626008 |
L(r)(E,1)/r! |
Ω |
0.23522361496387 |
Real period |
R |
0.22661752681306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13965p1 41895r1 |
Quadratic twists by: -3 -7 |