Atkin-Lehner |
3- 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
48675m |
Isogeny class |
Conductor |
48675 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
91440 |
Modular degree for the optimal curve |
Δ |
-171123046875 = -1 · 33 · 510 · 11 · 59 |
Discriminant |
Eigenvalues |
-2 3- 5+ -2 11+ 6 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-208,-20006] |
[a1,a2,a3,a4,a6] |
j |
-102400/17523 |
j-invariant |
L |
1.3588624935615 |
L(r)(E,1)/r! |
Ω |
0.45295416430641 |
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 |
48675i1 |
Quadratic twists by: 5 |