Atkin-Lehner |
2+ 3+ 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
41208b |
Isogeny class |
Conductor |
41208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
129455096832 = 210 · 36 · 17 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ -4 2 -4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4400,112476] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:404:1] [-7:378:1] |
Generators of the group modulo torsion |
j |
9201963038404/126420993 |
j-invariant |
L |
6.562407383455 |
L(r)(E,1)/r! |
Ω |
1.044348250362 |
Real period |
R |
3.1418673709561 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82416d1 123624p1 |
Quadratic twists by: -4 -3 |