Atkin-Lehner |
3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
66309l |
Isogeny class |
Conductor |
66309 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-176548444750287 = -1 · 32 · 23 · 318 |
Discriminant |
Eigenvalues |
1 3- 0 0 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-29331,2033929] |
[a1,a2,a3,a4,a6] |
j |
-3144219625/198927 |
j-invariant |
L |
1.123842961443 |
L(r)(E,1)/r! |
Ω |
0.56192147697331 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2139a1 |
Quadratic twists by: -31 |