Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
66564g |
Isogeny class |
Conductor |
66564 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-152183629437698304 = -1 · 28 · 37 · 437 |
Discriminant |
Eigenvalues |
2- 3- 3 1 1 7 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72111,-20194778] |
[a1,a2,a3,a4,a6] |
j |
-35152/129 |
j-invariant |
L |
4.8043766667243 |
L(r)(E,1)/r! |
Ω |
0.13345490752286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22188d1 1548a1 |
Quadratic twists by: -3 -43 |