Atkin-Lehner |
5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44965a |
Isogeny class |
Conductor |
44965 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
113159373731045 = 5 · 172 · 238 |
Discriminant |
Eigenvalues |
0 -2 5+ 2 3 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1468151,684216765] |
[a1,a2,a3,a4,a6] |
j |
4469032321024/1445 |
j-invariant |
L |
0.31800463069098 |
L(r)(E,1)/r! |
Ω |
0.47700694573334 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
44965i1 |
Quadratic twists by: -23 |