Atkin-Lehner |
3+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
72561b |
Isogeny class |
Conductor |
72561 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
82512 |
Modular degree for the optimal curve |
Δ |
-352761614307 = -1 · 32 · 194 · 673 |
Discriminant |
Eigenvalues |
1 3+ 0 -2 4 2 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4700,-129249] |
[a1,a2,a3,a4,a6] |
j |
-88134765625/2706867 |
j-invariant |
L |
1.7266293809824 |
L(r)(E,1)/r! |
Ω |
0.28777156489639 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72561j1 |
Quadratic twists by: -19 |