Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
2550be |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
125 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
276020200800 = 25 · 35 · 52 · 175 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1628,432] |
[a1,a2,a3,a4,a6] |
j |
19088138515945/11040808032 |
j-invariant |
L |
4.1402535909366 |
L(r)(E,1)/r! |
Ω |
0.82805071818731 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
20400ci1 81600bf1 7650r1 2550f2 |
Quadratic twists by: -4 8 -3 5 |