Atkin-Lehner |
3- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
66309i |
Isogeny class |
Conductor |
66309 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
189720 |
Modular degree for the optimal curve |
Δ |
58849481583429 = 3 · 23 · 318 |
Discriminant |
Eigenvalues |
-2 3- 1 2 0 -2 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9930,90752] |
[a1,a2,a3,a4,a6] |
j |
126976/69 |
j-invariant |
L |
1.6353770848882 |
L(r)(E,1)/r! |
Ω |
0.54512569574122 |
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 |
66309g1 |
Quadratic twists by: -31 |