Atkin-Lehner |
2- 3- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41952n |
Isogeny class |
Conductor |
41952 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
-8.4845075276641E+23 |
Discriminant |
Eigenvalues |
2- 3- 3 1 -1 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4956349,-44521806037] |
[a1,a2,a3,a4,a6] |
Generators |
[10899447194:-1609002077541:493039] |
Generators of the group modulo torsion |
j |
-3287376833562958638592/207141297062111079939 |
j-invariant |
L |
9.484541918636 |
L(r)(E,1)/r! |
Ω |
0.03916781092254 |
Real period |
R |
10.089643441942 |
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 |
41952f1 83904f1 125856i1 |
Quadratic twists by: -4 8 -3 |