Atkin-Lehner |
2+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44608c |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
3180691718144 = 228 · 172 · 41 |
Discriminant |
Eigenvalues |
2+ 0 -2 -2 0 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15116,-710160] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:43:1] |
Generators of the group modulo torsion |
j |
1457117049753/12133376 |
j-invariant |
L |
3.2866124106185 |
L(r)(E,1)/r! |
Ω |
0.43078291257675 |
Real period |
R |
3.8146968167278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44608z1 1394b1 |
Quadratic twists by: -4 8 |