Atkin-Lehner |
2- 3- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41496z |
Isogeny class |
Conductor |
41496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-3050529391728 = -1 · 24 · 38 · 76 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 13+ -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-222808,40406261] |
[a1,a2,a3,a4,a6] |
Generators |
[374:3087:1] |
Generators of the group modulo torsion |
j |
-76453613990212000000/190658086983 |
j-invariant |
L |
7.5033720301811 |
L(r)(E,1)/r! |
Ω |
0.69280278408456 |
Real period |
R |
0.33845183843044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82992h1 124488k1 |
Quadratic twists by: -4 -3 |