Atkin-Lehner |
2- 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41952r |
Isogeny class |
Conductor |
41952 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-1411946869963567104 = -1 · 212 · 36 · 197 · 232 |
Discriminant |
Eigenvalues |
2- 3- 3 3 -3 2 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1223789,-524619141] |
[a1,a2,a3,a4,a6] |
Generators |
[1585:38988:1] |
Generators of the group modulo torsion |
j |
-49486159972538348032/344713591299699 |
j-invariant |
L |
9.8041405480933 |
L(r)(E,1)/r! |
Ω |
0.071740132457211 |
Real period |
R |
0.81346350298109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41952l1 83904be1 125856r1 |
Quadratic twists by: -4 8 -3 |