Atkin-Lehner |
2- 3- 5- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41820k |
Isogeny class |
Conductor |
41820 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
773502720 = 28 · 3 · 5 · 173 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 3 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1500,21828] |
[a1,a2,a3,a4,a6] |
Generators |
[8:102:1] |
Generators of the group modulo torsion |
j |
1458972216016/3021495 |
j-invariant |
L |
6.3642167095015 |
L(r)(E,1)/r! |
Ω |
1.5978351814405 |
Real period |
R |
0.44255828020198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125460k1 |
Quadratic twists by: -3 |