Atkin-Lehner |
2+ 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66654a |
Isogeny class |
Conductor |
66654 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-2942322238815007104 = -1 · 27 · 39 · 73 · 237 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ -2 -5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,177645,-77377483] |
[a1,a2,a3,a4,a6] |
j |
212776173/1009792 |
j-invariant |
L |
1.0233400626475 |
L(r)(E,1)/r! |
Ω |
0.12791750796223 |
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 |
66654bd1 2898c1 |
Quadratic twists by: -3 -23 |