Atkin-Lehner |
3+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129591a |
Isogeny class |
Conductor |
129591 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.2613899125503E+19 |
Discriminant |
Eigenvalues |
1 3+ -4 7+ 11+ 0 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4291854,-3425470471] |
[a1,a2,a3,a4,a6] |
Generators |
[196504053453620:20343835002184717:17495004736] |
Generators of the group modulo torsion |
j |
-333725383137067137/481481944321 |
j-invariant |
L |
3.865138371696 |
L(r)(E,1)/r! |
Ω |
0.052440975157807 |
Real period |
R |
18.426137102779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999468358 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129591b2 129591d2 |
Quadratic twists by: -3 -11 |