Atkin-Lehner |
2- 3+ 5- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
41820c |
Isogeny class |
Conductor |
41820 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
70560 |
Modular degree for the optimal curve |
Δ |
-4393713750000 = -1 · 24 · 3 · 57 · 17 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12670,562357] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:1025:1] |
Generators of the group modulo torsion |
j |
-14059434443604736/274607109375 |
j-invariant |
L |
5.2825312232663 |
L(r)(E,1)/r! |
Ω |
0.77671630638848 |
Real period |
R |
0.32386226966093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125460c1 |
Quadratic twists by: -3 |