Atkin-Lehner |
2- 3- 5- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41820j |
Isogeny class |
Conductor |
41820 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
52800 |
Modular degree for the optimal curve |
Δ |
158043467520 = 28 · 311 · 5 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -3 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1820,-23580] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:54:1] |
Generators of the group modulo torsion |
j |
2605772594896/617357295 |
j-invariant |
L |
8.6877212453073 |
L(r)(E,1)/r! |
Ω |
0.74344666290225 |
Real period |
R |
0.35411320448061 |
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 |
125460i1 |
Quadratic twists by: -3 |