Atkin-Lehner |
2- 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
41334j |
Isogeny class |
Conductor |
41334 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-46283498496 = -1 · 210 · 38 · 832 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -6 -3 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-434,10884] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:82:1] [-20:118:1] |
Generators of the group modulo torsion |
j |
-1312499833/6718464 |
j-invariant |
L |
12.717540694544 |
L(r)(E,1)/r! |
Ω |
0.98327818130358 |
Real period |
R |
0.16167272060391 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124002i1 41334d1 |
Quadratic twists by: -3 -83 |