Atkin-Lehner |
2- 3- 5+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
41820h |
Isogeny class |
Conductor |
41820 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
285120 |
Modular degree for the optimal curve |
Δ |
7313951656800000 = 28 · 33 · 55 · 173 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48556,156644] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:1938:1] |
Generators of the group modulo torsion |
j |
49456274615252944/28570123659375 |
j-invariant |
L |
6.4533713041343 |
L(r)(E,1)/r! |
Ω |
0.35527334547943 |
Real period |
R |
2.0182804737217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
125460r1 |
Quadratic twists by: -3 |