Atkin-Lehner |
3+ 17+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66861b |
Isogeny class |
Conductor |
66861 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
148032 |
Modular degree for the optimal curve |
Δ |
971957621529 = 39 · 173 · 19 · 232 |
Discriminant |
Eigenvalues |
-1 3+ -2 0 -4 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-52301,-4590404] |
[a1,a2,a3,a4,a6] |
j |
803812236029739/49380563 |
j-invariant |
L |
0.31569980641457 |
L(r)(E,1)/r! |
Ω |
0.31569979951818 |
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 |
66861d1 |
Quadratic twists by: -3 |