Atkin-Lehner |
2- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44608ba |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
713728 = 210 · 17 · 41 |
Discriminant |
Eigenvalues |
2- -1 2 3 -4 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57,-143] |
[a1,a2,a3,a4,a6] |
j |
20353792/697 |
j-invariant |
L |
1.7386416524973 |
L(r)(E,1)/r! |
Ω |
1.7386416526349 |
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 |
44608d1 11152m1 |
Quadratic twists by: -4 8 |